Cremona's table of elliptic curves

40656 = 2⁴ · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	40656co	Isogeny class
Conductor	40656	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	-3.0611330768671E+19	Discriminant
Eigenvalues	2- 3- -2 7+ 11- -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,747256,95344500]	[a1,a2,a3,a4,a6]
Generators	[-92:5082:1] [-26:8712:1]	Generators of the group modulo torsion
j	6359387729183/4218578658	j-invariant
L	9.2369568430941	L(r)(E,1)/r!
Ω	0.1309858544899	Real period
R	0.55092762205275	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5082i6 121968ee5 336d6	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 40656co5

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	+	-	-6	-2	-4	-8	2	0	-10	6	-4	0	6	-4	-6	-4	-8	-10	0	-4	-6	-14

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Quadratic twists for elliptic curve 40656co5

-4	-3	-11
5082i6	121968ee5	336d6

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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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