Cremona's table of elliptic curves

9373 = 7 · 13 · 103

Field	Data	Notes
Atkin-Lehner	7- 13- 103+	Signs for the Atkin-Lehner involutions
Class	9373c	Isogeny class
Conductor	9373	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	65611 = 72 · 13 · 103	Discriminant
Eigenvalues	-1  1 -1 7-  0 13-  1  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-466,-3911]	[a1,a2,a3,a4,a6]
Generators	[-339:173:27]	Generators of the group modulo torsion
j	11192824869409/65611	j-invariant
L	3.0690594911489	L(r)(E,1)/r!
Ω	1.0275391419253	Real period
R	1.4934027162208	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	84357g1 65611c1 121849a1	Quadratic twists by: -3 -7 13

Hecke Eigenvalues for elliptic curve 9373c1

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	1	-1	-	0	-	1	5	4	-3	0	3	-10	4	-6	-12	5	1	-2	-8	7	12	-11	-3	8

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Quadratic twists for elliptic curve 9373c1

-3	-7	13
84357g1	65611c1	121849a1

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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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