Cremona's table of elliptic curves

36456 = 2³ · 3 · 7² · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 31-	Signs for the Atkin-Lehner involutions
Class	36456v	Isogeny class
Conductor	36456	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	12764099545344 = 28 · 32 · 78 · 312	Discriminant
Eigenvalues	2- 3+ -2 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14324,-632316]	[a1,a2,a3,a4,a6]
j	10792418128/423801	j-invariant
L	1.7498088697272	L(r)(E,1)/r!
Ω	0.43745221743374	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	72912x2 109368v2 5208m2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 36456v2

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	-	4	-2	2	-4	8	2	-	-2	10	8	12	10	0	-2	-4	0	2	-12	12	10	-2

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Quadratic twists for elliptic curve 36456v2

-4	-3	-7
72912x2	109368v2	5208m2

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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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