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	2070q	Isogeny class
Conductor	2070	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	83443322880 = 212 · 311 · 5 · 23	Discriminant
Eigenvalues	2- 3- 5-  0  4 -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5432,154811]	[a1,a2,a3,a4,a6]
j	24310870577209/114462720	j-invariant
L	3.2569822695788	L(r)(E,1)/r!
Ω	1.0856607565263	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	16560cb1 66240bd1 690e1 10350o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070q1

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	-6	6	4	+	6	-8	6	-10	4	8	14	0	10	4	-8	2	-12	16	2	-14

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Quadratic twists for elliptic curve 2070q1

-4	8	-3	5	-7	-23
16560cb1	66240bd1	690e1	10350o1	101430dx1	47610bq1

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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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