Cremona's table of elliptic curves

395 = 5 · 79

Field	Data	Notes
Atkin-Lehner	5- 79+	Signs for the Atkin-Lehner involutions
Class	395c	Isogeny class
Conductor	395	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-15385281995 = -1 · 5 · 795	Discriminant
Eigenvalues	-2 -1 5-  3 -3  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,300,-5724]	[a1,a2,a3,a4,a6]
j	2976041775104/15385281995	j-invariant
L	0.62499546258922	L(r)(E,1)/r!
Ω	0.62499546258922	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6320h2 25280c2 3555e2 1975d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 395c2

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
-2	-1	-	3	-3	4	-2	0	4	0	7	3	12	4	-12	9	0	12	-2	-8	14	+	4	-10	8

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Quadratic twists for elliptic curve 395c2

-4	8	-3	5	-7	-11	13	17	-79
6320h2	25280c2	3555e2	1975d2	19355e2	47795c2	66755d2	114155e2	31205e2

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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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