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	80	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-231384600000 = -1 · 26 · 37 · 55 · 232	Discriminant
Eigenvalues	2+ 3- 5-  0 -2  0 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1206,16308]	[a1,a2,a3,a4,a6]
Generators	[12:174:1]	Generators of the group modulo torsion
j	265971760991/317400000	j-invariant
L	2.3957846432178	L(r)(E,1)/r!
Ω	0.66316010740757	Real period
R	0.1806339537358	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	16560ca1 66240bb1 690i1 10350bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070g1

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

---

Quadratic twists for elliptic curve 2070g1

-4	8	-3	5	-7	-23
16560ca1	66240bb1	690i1	10350bo1	101430y1	47610m1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations