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	2130d	Isogeny class
Conductor	2130	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	36748890 = 2 · 36 · 5 · 712	Discriminant
Eigenvalues	2+ 3- 5+  2  6  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-38879,2947376]	[a1,a2,a3,a4,a6]
j	6499095407581304809/36748890	j-invariant
L	1.868559264687	L(r)(E,1)/r!
Ω	1.4014194485152	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	17040n2 68160j2 6390u2 10650u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2130d2

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

---

Quadratic twists for elliptic curve 2130d2

-4	8	-3	5	-7
17040n2	68160j2	6390u2	10650u2	104370v2

---

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