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	16	Product of Tamagawa factors cp
Δ	-330486624180 = -1 · 22 · 310 · 5 · 234	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,67,27641]	[a1,a2,a3,a4,a6]
Generators	[-9:166:1]	Generators of the group modulo torsion
j	46268279/453342420	j-invariant
L	4.0572562338924	L(r)(E,1)/r!
Ω	0.7591564224447	Real period
R	1.3361068002385	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	16560bp4 66240ch3 690f4 10350p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070n4

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 2070n4

-4	8	-3	5	-7	-23
16560bp4	66240ch3	690f4	10350p4	101430ez3	47610cd3

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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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