Cremona's table of elliptic curves

6076 = 2² · 7² · 31

Field	Data	Notes
Atkin-Lehner	2- 7- 31+	Signs for the Atkin-Lehner involutions
Class	6076a	Isogeny class
Conductor	6076	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-56078101744 = -1 · 24 · 76 · 313	Discriminant
Eigenvalues	2-  2  3 7- -6 -2 -6  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,866,5517]	[a1,a2,a3,a4,a6]
Generators	[10989:152697:1331]	Generators of the group modulo torsion
j	38112512/29791	j-invariant
L	6.0304037677852	L(r)(E,1)/r!
Ω	0.71727329907896	Real period
R	8.407400324993	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24304w2 97216l2 54684p2 124a2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6076a2

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	3	-	-6	-2	-6	1	-6	0	+	-10	9	8	0	0	3	10	-4	-15	-14	8	-6	-12	7

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Quadratic twists for elliptic curve 6076a2

-4	8	-3	-7
24304w2	97216l2	54684p2	124a2

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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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