Cremona's table of elliptic curves

155 = 5 · 31

Field	Data	Notes
Atkin-Lehner	5- 31-	Signs for the Atkin-Lehner involutions
Class	155a	Isogeny class
Conductor	155	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	20	Modular degree for the optimal curve
Δ	-96875 = -1 · 55 · 31	Discriminant
Eigenvalues	-2 -1 5- -2  2 -6 -7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,10,6]	[a1,a2,a3,a4,a6]
Generators	[2:5:1]	Generators of the group modulo torsion
j	99897344/96875	j-invariant
L	0.67155288878456	L(r)(E,1)/r!
Ω	2.2165110786537	Real period
R	1.5148872822067	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	2480m1 9920h1 1395c1 775c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 155a1

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	-	-2	2	-6	-7	-5	4	0	-	-7	-3	9	-2	9	-5	-8	8	-3	-1	0	-11	10	18

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Quadratic twists for elliptic curve 155a1

-4	8	-3	5	-7	-11	13	17	-19	-23	-31
2480m1	9920h1	1395c1	775c1	7595c1	18755j1	26195b1	44795a1	55955f1	81995a1	4805f1

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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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