Cremona's table of elliptic curves

155 = 5 · 31

Field	Data	Notes
Atkin-Lehner	5+ 31-	Signs for the Atkin-Lehner involutions
Class	155b	Isogeny class
Conductor	155	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	-775 = -1 · 52 · 31	Discriminant
Eigenvalues	-1  2 5+  4  4  0 -8  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1,-2]	[a1,a2,a3,a4,a6]
j	-117649/775	j-invariant
L	1.0570696881299	L(r)(E,1)/r!
Ω	2.1141393762597	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	2480j1 9920q1 1395e1 775b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 155b1

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	2	+	4	4	0	-8	4	2	-6	-	-4	-6	-6	8	-12	-4	10	8	0	-4	0	2	14	-18

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Quadratic twists for elliptic curve 155b1

-4	8	-3	5	-7	-11	13	17	-19	-23	-31
2480j1	9920q1	1395e1	775b1	7595h1	18755b1	26195i1	44795g1	55955a1	81995d1	4805c1

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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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