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	7395j	Isogeny class
Conductor	7395	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	8319375 = 33 · 54 · 17 · 29	Discriminant
Eigenvalues	1 3- 5-  0  4  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-70993,7274681]	[a1,a2,a3,a4,a6]
j	39569585851905075721/8319375	j-invariant
L	4.0764230432504	L(r)(E,1)/r!
Ω	1.3588076810835	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	118320bp4 22185l4 36975l4 125715c4	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 7395j4

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	-	-	0	4	6	+	4	4	-	-4	-6	-6	4	0	-6	4	10	0	0	6	-4	-12	14	-2

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Quadratic twists for elliptic curve 7395j4

-4	-3	5	17
118320bp4	22185l4	36975l4	125715c4

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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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