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	2070f	Isogeny class
Conductor	2070	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-704053036800 = -1 · 28 · 314 · 52 · 23	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3780,-97200]	[a1,a2,a3,a4,a6]
Generators	[120:1020:1]	Generators of the group modulo torsion
j	-8194759433281/965779200	j-invariant
L	2.1289468443133	L(r)(E,1)/r!
Ω	0.30243122887635	Real period
R	1.7598602930517	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	16560bi1 66240cw1 690k1 10350bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070f1

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	6	4	-	2	0	-2	-10	-4	0	-6	4	-10	-12	8	10	-8	4	-18	2

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Quadratic twists for elliptic curve 2070f1

-4	8	-3	5	-7	-23
16560bi1	66240cw1	690k1	10350bj1	101430co1	47610w1

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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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