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	256	Product of Tamagawa factors cp
Δ	457233716709310464 = 214 · 38 · 74 · 116	Discriminant
Eigenvalues	2- 3- -2 7+ 11- -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-201384,12243636]	[a1,a2,a3,a4,a6]
Generators	[-450:3456:1] [-180:6534:1]	Generators of the group modulo torsion
j	124475734657/63011844	j-invariant
L	9.2369568430941	L(r)(E,1)/r!
Ω	0.26197170897981	Real period
R	2.203710488211	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	5082i4 121968ee3 336d4	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 40656co3

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 40656co3

-4	-3	-11
5082i4	121968ee3	336d4

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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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