Cremona's table of elliptic curves

3480 = 2³ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 29+	Signs for the Atkin-Lehner involutions
Class	3480j	Isogeny class
Conductor	3480	Conductor
∏ cp	84	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-2029536000 = -1 · 28 · 37 · 53 · 29	Discriminant
Eigenvalues	2+ 3- 5- -2  1 -2 -8 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-465,4275]	[a1,a2,a3,a4,a6]
Generators	[15:-30:1]	Generators of the group modulo torsion
j	-43528754176/7927875	j-invariant
L	4.1062262458265	L(r)(E,1)/r!
Ω	1.414676919659	Real period
R	0.034554635835462	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6960h1 27840n1 10440v1 17400v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480j1

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	1	-2	-8	-2	3	+	4	-11	9	-9	-10	3	-12	8	10	-6	-9	-16	-11	10	13

---

Quadratic twists for elliptic curve 3480j1

-4	8	-3	5	29
6960h1	27840n1	10440v1	17400v1	100920bg1

---

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