Cremona's table of elliptic curves

7395 = 3 · 5 · 17 · 29

Field	Data	Notes
Atkin-Lehner	3+ 5+ 17- 29-	Signs for the Atkin-Lehner involutions
Class	7395c	Isogeny class
Conductor	7395	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	7488	Modular degree for the optimal curve
Δ	25691494545 = 36 · 5 · 172 · 293	Discriminant
Eigenvalues	1 3+ 5+  4  2  2 17- -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2693,52128]	[a1,a2,a3,a4,a6]
Generators	[16:108:1]	Generators of the group modulo torsion
j	2161149093764569/25691494545	j-invariant
L	4.5144429527062	L(r)(E,1)/r!
Ω	1.1959773981542	Real period
R	1.2582297289992	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	118320cm1 22185o1 36975bb1 125715bc1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 7395c1

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	2	2	-	-6	-6	-	-4	2	-2	-8	0	-4	-4	-8	2	16	-2	4	16	12	2

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Quadratic twists for elliptic curve 7395c1

-4	-3	5	17
118320cm1	22185o1	36975bb1	125715bc1

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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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