Cremona's table of elliptic curves

2130 = 2 · 3 · 5 · 71

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 71+	Signs for the Atkin-Lehner involutions
Class	2130n	Isogeny class
Conductor	2130	Conductor
∏ cp	1160	Product of Tamagawa factors cp
deg	1447680	Modular degree for the optimal curve
Δ	-3.0209994979454E+25	Discriminant
Eigenvalues	2- 3- 5-  2 -6  2  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-894697510,-10304066921500]	[a1,a2,a3,a4,a6]
j	-79204963502810190656794906124641/30209994979453807519334400	j-invariant
L	4.0025665661367	L(r)(E,1)/r!
Ω	0.013801953676333	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	17040p1 68160c1 6390g1 10650b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2130n1

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	-6	2	0	4	6	10	-8	-6	10	-4	6	6	6	8	-12	+	-6	0	-4	-10	-8

---

Quadratic twists for elliptic curve 2130n1

-4	8	-3	5	-7
17040p1	68160c1	6390g1	10650b1	104370ck1

---

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