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
Δ	4805 = 5 · 312	Discriminant
Eigenvalues	-1  2 5+  4  4  0 -8  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-26,-62]	[a1,a2,a3,a4,a6]
j	1948441249/4805	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	2480j2 9920q2 1395e2 775b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 155b2

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 155b2

-4	8	-3	5	-7	-11	13	17	-19	-23	-31
2480j2	9920q2	1395e2	775b2	7595h2	18755b2	26195i2	44795g2	55955a2	81995d2	4805c2

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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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