Cremona's table of elliptic curves

2130 = 2 · 3 · 5 · 71

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 71+	Signs for the Atkin-Lehner involutions
Class	2130m	Isogeny class
Conductor	2130	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	-63900 = -1 · 22 · 32 · 52 · 71	Discriminant
Eigenvalues	2- 3- 5-  2  2 -6  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,10,0]	[a1,a2,a3,a4,a6]
j	109902239/63900	j-invariant
L	4.133619826969	L(r)(E,1)/r!
Ω	2.0668099134845	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	17040o1 68160b1 6390f1 10650a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2130m1

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	2	-6	0	4	6	-6	8	-6	-6	12	6	-2	-2	0	-4	+	10	-16	-4	-10	-8

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Quadratic twists for elliptic curve 2130m1

-4	8	-3	5	-7
17040o1	68160b1	6390f1	10650a1	104370cd1

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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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