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	160	Product of Tamagawa factors cp
Δ	902916953746891776 = 210 · 312 · 72 · 112 · 234	Discriminant
Eigenvalues	2- 3+  2 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-604582,174815651]	[a1,a2,a3,a4,a6]
Generators	[-545:18787:1]	Generators of the group modulo torsion
j	24439335640029940889953/902916953746891776	j-invariant
L	6.3670131105028	L(r)(E,1)/r!
Ω	0.27797184195204	Real period
R	2.2905244883046	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	85008ck2 31878g2 74382bv2 116886f2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626l2

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 10626l2

-4	-3	-7	-11
85008ck2	31878g2	74382bv2	116886f2

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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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