Cremona's table of elliptic curves

77616 = 2⁴ · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	77616bu	Isogeny class
Conductor	77616	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	110592	Modular degree for the optimal curve
Δ	-1222681820976 = -1 · 24 · 310 · 76 · 11	Discriminant
Eigenvalues	2+ 3- -2 7- 11+ -6  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,294,-53165]	[a1,a2,a3,a4,a6]
Generators	[3297:36260:27]	Generators of the group modulo torsion
j	2048/891	j-invariant
L	4.2399657061065	L(r)(E,1)/r!
Ω	0.4044598022441	Real period
R	5.2415168091792	Regulator
r	1	Rank of the group of rational points
S	1.0000000004498	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38808cn1 25872x1 1584c1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 77616bu1

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

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Quadratic twists for elliptic curve 77616bu1

-4	-3	-7
38808cn1	25872x1	1584c1

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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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