Cremona's table of elliptic curves

2070 = 2 · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	2070n	Isogeny class
Conductor	2070	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	64385280 = 28 · 37 · 5 · 23	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-113,-223]	[a1,a2,a3,a4,a6]
Generators	[-3:10:1]	Generators of the group modulo torsion
j	217081801/88320	j-invariant
L	4.0572562338924	L(r)(E,1)/r!
Ω	1.5183128448894	Real period
R	0.33402670005962	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16560bp1 66240ch1 690f1 10350p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070n1

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

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Quadratic twists for elliptic curve 2070n1

-4	8	-3	5	-7	-23
16560bp1	66240ch1	690f1	10350p1	101430ez1	47610cd1

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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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