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	2070b	Isogeny class
Conductor	2070	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	17625953289600 = 27 · 39 · 52 · 234	Discriminant
Eigenvalues	2+ 3+ 5- -2  2  4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-16944,828800]	[a1,a2,a3,a4,a6]
j	27333463470867/895491200	j-invariant
L	1.37486678794	L(r)(E,1)/r!
Ω	0.68743339396999	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16560be2 66240e2 2070l2 10350be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070b2

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 2070b2

-4	8	-3	5	-7	-23
16560be2	66240e2	2070l2	10350be2	101430c2	47610d2

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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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