Cremona's table of elliptic curves

10656 = 2⁵ · 3² · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 37+	Signs for the Atkin-Lehner involutions
Class	10656c	Isogeny class
Conductor	10656	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	110370926592 = 212 · 39 · 372	Discriminant
Eigenvalues	2+ 3-  0  4  4 -2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1740,-22912]	[a1,a2,a3,a4,a6]
j	195112000/36963	j-invariant
L	2.9956248066859	L(r)(E,1)/r!
Ω	0.74890620167148	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10656d2 21312cf1 3552e2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 10656c2

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
+	-	0	4	4	-2	-4	6	4	0	10	+	-2	2	-8	2	4	-6	8	8	10	2	-4	-8	-2

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Quadratic twists for elliptic curve 10656c2

-4	8	-3
10656d2	21312cf1	3552e2

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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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