Cremona's table of elliptic curves

76608 = 2⁶ · 3² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 19-	Signs for the Atkin-Lehner involutions
Class	76608bw	Isogeny class
Conductor	76608	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	566408295661436928 = 218 · 38 · 7 · 196	Discriminant
Eigenvalues	2+ 3-  4 7+ -2 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-268428,-39423760]	[a1,a2,a3,a4,a6]
Generators	[-370:3040:1]	Generators of the group modulo torsion
j	11192824869409/2963890503	j-invariant
L	8.536426244285	L(r)(E,1)/r!
Ω	0.21388106370207	Real period
R	1.6630010193785	Regulator
r	1	Rank of the group of rational points
S	0.99999999967079	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	76608fd2 1197c2 25536l2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 76608bw2

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

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Quadratic twists for elliptic curve 76608bw2

-4	8	-3
76608fd2	1197c2	25536l2

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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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