Cremona's table of elliptic curves

395 = 5 · 79

Field	Data	Notes
Atkin-Lehner	5- 79+	Signs for the Atkin-Lehner involutions
Class	395a	Isogeny class
Conductor	395	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	194750405 = 5 · 794	Discriminant
Eigenvalues	-1  0 5- -4  4  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-157,384]	[a1,a2,a3,a4,a6]
j	425428681761/194750405	j-invariant
L	0.80172320800396	L(r)(E,1)/r!
Ω	1.6034464160079	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	6320g4 25280b3 3555b4 1975a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 395a3

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	4	6	6	-4	0	6	0	10	2	8	12	-14	-4	-10	-4	-8	2	+	4	-6	10

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Quadratic twists for elliptic curve 395a3

-4	8	-3	5	-7	-11	13	17	-79
6320g4	25280b3	3555b4	1975a3	19355b4	47795a3	66755a3	114155b3	31205c3

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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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