Cremona's table of elliptic curves

195 = 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	3- 5- 13-	Signs for the Atkin-Lehner involutions
Class	195a	Isogeny class
Conductor	195	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2798036865 = -1 · 316 · 5 · 13	Discriminant
Eigenvalues	-1 3- 5-  0  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,210,2277]	[a1,a2,a3,a4,a6]
j	1023887723039/2798036865	j-invariant
L	1.0057121353225	L(r)(E,1)/r!
Ω	1.0057121353225	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3120r4 12480a4 585f4 975a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 195a4

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	-	2	-4	8	-2	-8	6	-6	-4	-8	6	-12	-2	-4	0	-6	16	-4	10	18

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Quadratic twists for elliptic curve 195a4

-4	8	-3	5	-7	-11	13	17	-19	-23
3120r4	12480a4	585f4	975a4	9555e4	23595n3	2535f4	56355b3	70395g3	103155h3

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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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