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	2070g	Isogeny class
Conductor	2070	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	11789296875000 = 23 · 38 · 510 · 23	Discriminant
Eigenvalues	2+ 3- 5-  0 -2  0 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-7074,160380]	[a1,a2,a3,a4,a6]
Generators	[-69:597:1]	Generators of the group modulo torsion
j	53706380371489/16171875000	j-invariant
L	2.3957846432178	L(r)(E,1)/r!
Ω	0.66316010740757	Real period
R	0.3612679074716	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	16560ca2 66240bb2 690i2 10350bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070g2

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	-2	0	-6	4	+	0	-8	-6	2	-2	-4	2	0	-2	-2	10	-10	0	4	-4	16

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Quadratic twists for elliptic curve 2070g2

-4	8	-3	5	-7	-23
16560ca2	66240bb2	690i2	10350bo2	101430y2	47610m2

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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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