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
Δ	6825597608475 = 33 · 52 · 17 · 296	Discriminant
Eigenvalues	1 3+ 5+  4  2  2 17- -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4988,-52983]	[a1,a2,a3,a4,a6]
Generators	[638:1711:8]	Generators of the group modulo torsion
j	13729005625435849/6825597608475	j-invariant
L	4.5144429527062	L(r)(E,1)/r!
Ω	0.59798869907709	Real period
R	2.5164594579985	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	118320cm2 22185o2 36975bb2 125715bc2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 7395c2

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 7395c2

-4	-3	5	17
118320cm2	22185o2	36975bb2	125715bc2

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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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