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	7395k	Isogeny class
Conductor	7395	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	-924375 = -1 · 3 · 54 · 17 · 29	Discriminant
Eigenvalues	1 3- 5- -4  0 -2 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,22,23]	[a1,a2,a3,a4,a6]
j	1256216039/924375	j-invariant
L	1.7819552385872	L(r)(E,1)/r!
Ω	1.7819552385872	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	118320bv1 22185m1 36975n1 125715e1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 7395k1

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	-2	+	-8	0	-	-8	10	2	12	8	-6	12	2	-12	0	6	16	0	6	-2

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Quadratic twists for elliptic curve 7395k1

-4	-3	5	17
118320bv1	22185m1	36975n1	125715e1

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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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