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	32	Product of Tamagawa factors cp
Δ	214082656011933750 = 2 · 37 · 54 · 238	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-232470,37012950]	[a1,a2,a3,a4,a6]
Generators	[-105:7815:1]	Generators of the group modulo torsion
j	1905890658841300321/293666194803750	j-invariant
L	2.1289468443133	L(r)(E,1)/r!
Ω	0.30243122887635	Real period
R	0.87993014652584	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	16560bi5 66240cw6 690k5 10350bj5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070f5

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 2070f5

-4	8	-3	5	-7	-23
16560bi5	66240cw6	690k5	10350bj5	101430co6	47610w6

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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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