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	32	Product of Tamagawa factors cp
Δ	27720225 = 38 · 52 · 132	Discriminant
Eigenvalues	-1 3- 5-  0  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-115,392]	[a1,a2,a3,a4,a6]
j	168288035761/27720225	j-invariant
L	1.0057121353225	L(r)(E,1)/r!
Ω	2.011424270645	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	3120r2 12480a2 585f2 975a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 195a2

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 195a2

-4	8	-3	5	-7	-11	13	17	-19	-23
3120r2	12480a2	585f2	975a2	9555e2	23595n2	2535f2	56355b2	70395g2	103155h2

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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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