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	2070m	Isogeny class
Conductor	2070	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	582758080637400 = 23 · 39 · 52 · 236	Discriminant
Eigenvalues	2- 3+ 5- -4  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-35372,-2273129]	[a1,a2,a3,a4,a6]
Generators	[-89:449:1]	Generators of the group modulo torsion
j	248656466619387/29607177800	j-invariant
L	4.1678921683799	L(r)(E,1)/r!
Ω	0.3508348991763	Real period
R	1.9799874424149	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	16560bg4 66240g4 2070a2 10350e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070m4

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

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Quadratic twists for elliptic curve 2070m4

-4	8	-3	5	-7	-23
16560bg4	66240g4	2070a2	10350e4	101430cw4	47610bh4

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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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