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	3480k	Isogeny class
Conductor	3480	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	974177280 = 210 · 38 · 5 · 29	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3120,-68112]	[a1,a2,a3,a4,a6]
j	3281154851524/951345	j-invariant
L	2.5551526741194	L(r)(E,1)/r!
Ω	0.63878816852984	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	6960i3 27840a4 10440p3 17400ba3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480k3

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
+	-	-	0	0	-2	-2	0	0	-	4	10	10	4	8	6	12	-10	4	0	14	4	-12	-6	-2

---

Quadratic twists for elliptic curve 3480k3

-4	8	-3	5	29
6960i3	27840a4	10440p3	17400ba3	100920be4

---

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