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	4	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	5265 = 34 · 5 · 13	Discriminant
Eigenvalues	-1 3- 5-  0  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-110,435]	[a1,a2,a3,a4,a6]
j	147281603041/5265	j-invariant
L	1.0057121353225	L(r)(E,1)/r!
Ω	4.0228485412899	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	3120r1 12480a1 585f1 975a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 195a1

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 195a1

-4	8	-3	5	-7	-11	13	17	-19	-23
3120r1	12480a1	585f1	975a1	9555e1	23595n1	2535f1	56355b1	70395g1	103155h1

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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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