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	2130f	Isogeny class
Conductor	2130	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-1217334910406400 = -1 · 28 · 312 · 52 · 713	Discriminant
Eigenvalues	2+ 3- 5+  2  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-11984,-1753954]	[a1,a2,a3,a4,a6]
Generators	[201:1891:1]	Generators of the group modulo torsion
j	-190316752233854329/1217334910406400	j-invariant
L	2.6618331923098	L(r)(E,1)/r!
Ω	0.20341970321239	Real period
R	3.2713561546329	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	17040l1 68160p1 6390r1 10650w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2130f1

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	0	-4	0	-4	-6	-6	-4	2	-6	8	-6	0	0	2	2	-	2	8	-12	-6	8

---

Quadratic twists for elliptic curve 2130f1

-4	8	-3	5	-7
17040l1	68160p1	6390r1	10650w1	104370y1

---

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