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	2130h	Isogeny class
Conductor	2130	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-5175900 = -1 · 22 · 36 · 52 · 71	Discriminant
Eigenvalues	2- 3+ 5+  2 -2 -4 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,19,-97]	[a1,a2,a3,a4,a6]
Generators	[11:34:1]	Generators of the group modulo torsion
j	756058031/5175900	j-invariant
L	3.7144026675369	L(r)(E,1)/r!
Ω	1.2069208163031	Real period
R	1.5387930249287	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	17040u1 68160bm1 6390l1 10650m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2130h1

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	-2	-4	-4	-4	4	-2	-6	-2	8	-4	-8	6	-2	-8	-8	-	2	0	8	-10	-6

---

Quadratic twists for elliptic curve 2130h1

-4	8	-3	5	-7
17040u1	68160bm1	6390l1	10650m1	104370dt1

---

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