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	32	Product of Tamagawa factors cp
Δ	-2336438031062016 = -1 · 210 · 3 · 77 · 314	Discriminant
Eigenvalues	2- 3+ -2 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,6256,-2319876]	[a1,a2,a3,a4,a6]
j	224727548/19393941	j-invariant
L	1.7498088697272	L(r)(E,1)/r!
Ω	0.21872610871687	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	72912x3 109368v3 5208m4	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 36456v3

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 36456v3

-4	-3	-7
72912x3	109368v3	5208m4

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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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