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	31200bx	Isogeny class
Conductor	31200	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	767637000000 = 26 · 310 · 56 · 13	Discriminant
Eigenvalues	2- 3- 5+ -2  4 13+  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2458,-21412]	[a1,a2,a3,a4,a6]
Generators	[-28:162:1]	Generators of the group modulo torsion
j	1643032000/767637	j-invariant
L	7.1172148411923	L(r)(E,1)/r!
Ω	0.70936263694726	Real period
R	1.0033253050684	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31200bg1 62400fa2 93600ba1 1248b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 31200bx1

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	+	6	6	0	-2	-6	-10	8	-12	-12	6	0	2	-2	-8	-14	4	-8	4	-14

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Quadratic twists for elliptic curve 31200bx1

-4	8	-3	5
31200bg1	62400fa2	93600ba1	1248b1

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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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