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	2070l	Isogeny class
Conductor	2070	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	24178262400 = 27 · 33 · 52 · 234	Discriminant
Eigenvalues	2- 3+ 5+ -2 -2  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1883,-30069]	[a1,a2,a3,a4,a6]
Generators	[-27:36:1]	Generators of the group modulo torsion
j	27333463470867/895491200	j-invariant
L	3.9877932155979	L(r)(E,1)/r!
Ω	0.72623465005881	Real period
R	0.19610904858343	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	16560x2 66240w2 2070b2 10350b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070l2

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	4	-6	-4	-	-2	-4	-4	0	0	-8	-10	2	6	-4	-4	14	-8	-8	0	10

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Quadratic twists for elliptic curve 2070l2

-4	8	-3	5	-7	-23
16560x2	66240w2	2070b2	10350b2	101430di2	47610bl2

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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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