Cremona's table of elliptic curves

1955 = 5 · 17 · 23

Field	Data	Notes
Atkin-Lehner	5+ 17- 23+	Signs for the Atkin-Lehner involutions
Class	1955a	Isogeny class
Conductor	1955	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	2040	Modular degree for the optimal curve
Δ	-86377000595 = -1 · 5 · 175 · 233	Discriminant
Eigenvalues	1 -1 5+  4 -1 -4 17-  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4628,-123953]	[a1,a2,a3,a4,a6]
j	-10966054014452809/86377000595	j-invariant
L	1.4463545739571	L(r)(E,1)/r!
Ω	0.28927091479142	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31280q1 125120bd1 17595r1 9775b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1955a1

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	-1	+	4	-1	-4	-	6	+	0	2	2	-8	7	0	-1	5	1	8	16	10	1	13	0	-10

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Quadratic twists for elliptic curve 1955a1

-4	8	-3	5	-7	17	-23
31280q1	125120bd1	17595r1	9775b1	95795k1	33235e1	44965e1

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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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