Cremona's table of elliptic curves

31200 = 2⁵ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	31200cd	Isogeny class
Conductor	31200	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-97344000000 = -1 · 212 · 32 · 56 · 132	Discriminant
Eigenvalues	2- 3- 5+  2  6 13-  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,767,-12337]	[a1,a2,a3,a4,a6]
j	778688/1521	j-invariant
L	4.4531730237701	L(r)(E,1)/r!
Ω	0.5566466279715	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	31200h2 62400k1 93600bq2 1248a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 31200cd2

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

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Quadratic twists for elliptic curve 31200cd2

-4	8	-3	5
31200h2	62400k1	93600bq2	1248a2

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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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