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	216	Product of Tamagawa factors cp
Δ	114264000000 = 29 · 33 · 56 · 232	Discriminant
Eigenvalues	2- 3+ 5- -4  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-8372,296471]	[a1,a2,a3,a4,a6]
Generators	[-89:619:1]	Generators of the group modulo torsion
j	2403250125069123/4232000000	j-invariant
L	4.1678921683799	L(r)(E,1)/r!
Ω	1.0525046975289	Real period
R	0.6599958141383	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	16560bg2 66240g2 2070a4 10350e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070m2

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 2070m2

-4	8	-3	5	-7	-23
16560bg2	66240g2	2070a4	10350e2	101430cw2	47610bh2

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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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