Cremona's table of elliptic curves

10626 = 2 · 3 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 11- 23+	Signs for the Atkin-Lehner involutions
Class	10626l	Isogeny class
Conductor	10626	Conductor
∏ cp	320	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-41443067603976192 = -1 · 220 · 36 · 7 · 114 · 232	Discriminant
Eigenvalues	2- 3+  2 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,14938,9775523]	[a1,a2,a3,a4,a6]
Generators	[51:3241:1]	Generators of the group modulo torsion
j	368637286278891167/41443067603976192	j-invariant
L	6.3670131105028	L(r)(E,1)/r!
Ω	0.27797184195204	Real period
R	1.1452622441523	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	85008ck1 31878g1 74382bv1 116886f1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626l1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	2	+	-	-2	-2	0	+	-2	4	-10	6	-4	-12	6	-4	-10	4	0	14	-8	-8	-14	10

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Quadratic twists for elliptic curve 10626l1

-4	-3	-7	-11
85008ck1	31878g1	74382bv1	116886f1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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