Cremona's table of elliptic curves

7878 = 2 · 3 · 13 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13+ 101+	Signs for the Atkin-Lehner involutions
Class	7878a	Isogeny class
Conductor	7878	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	912	Modular degree for the optimal curve
Δ	-102414 = -1 · 2 · 3 · 132 · 101	Discriminant
Eigenvalues	2+ 3+ -1  4  0 13+  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-13,19]	[a1,a2,a3,a4,a6]
Generators	[-3:8:1]	Generators of the group modulo torsion
j	-273359449/102414	j-invariant
L	2.8947506253838	L(r)(E,1)/r!
Ω	3.1580447996254	Real period
R	0.45831373667137	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	63024o1 23634j1 102414n1	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 7878a1

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
+	+	-1	4	0	+	4	4	-4	-6	1	4	-9	8	-6	4	0	-7	-13	-14	-8	-11	-6	11	-3

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Quadratic twists for elliptic curve 7878a1

-4	-3	13
63024o1	23634j1	102414n1

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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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