Cremona's table of elliptic curves

10640 = 2⁴ · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 19-	Signs for the Atkin-Lehner involutions
Class	10640y	Isogeny class
Conductor	10640	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	24000	Modular degree for the optimal curve
Δ	-77661785600000 = -1 · 212 · 55 · 75 · 192	Discriminant
Eigenvalues	2-  1 5- 7+  3 -1  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3365,-431725]	[a1,a2,a3,a4,a6]
j	-1029077364736/18960396875	j-invariant
L	2.630542779216	L(r)(E,1)/r!
Ω	0.2630542779216	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	665d1 42560ca1 95760di1 53200ct1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10640y1

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
-	1	-	+	3	-1	3	-	-4	5	8	-12	-8	-4	7	4	10	2	12	8	-6	15	-4	10	-7

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Quadratic twists for elliptic curve 10640y1

-4	8	-3	5	-7
665d1	42560ca1	95760di1	53200ct1	74480bh1

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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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