Cremona's table of elliptic curves

6200 = 2³ · 5² · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	6200l	Isogeny class
Conductor	6200	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-3100000000 = -1 · 28 · 58 · 31	Discriminant
Eigenvalues	2- -2 5+  0  0 -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,92,2688]	[a1,a2,a3,a4,a6]
Generators	[-2:50:1]	Generators of the group modulo torsion
j	21296/775	j-invariant
L	2.6178162255108	L(r)(E,1)/r!
Ω	1.0738488395639	Real period
R	0.6094470955926	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	12400e1 49600x1 55800s1 1240b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6200l1

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

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Quadratic twists for elliptic curve 6200l1

-4	8	-3	5
12400e1	49600x1	55800s1	1240b1

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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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