Cremona's table of elliptic curves

3360 = 2⁵ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	3360z	Isogeny class
Conductor	3360	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	4032000 = 29 · 32 · 53 · 7	Discriminant
Eigenvalues	2- 3- 5- 7- -4 -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-84000,9342648]	[a1,a2,a3,a4,a6]
Generators	[171:90:1]	Generators of the group modulo torsion
j	128025588102048008/7875	j-invariant
L	4.2240075998602	L(r)(E,1)/r!
Ω	1.3576953623852	Real period
R	1.0370533569571	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	3360f2 6720h4 10080r2 16800f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360z3

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
-	-	-	-	-4	-2	-2	-8	0	-2	0	-6	2	-4	-8	-6	0	-2	-4	-4	-2	-4	12	18	6

---

Quadratic twists for elliptic curve 3360z3

-4	8	-3	5	-7
3360f2	6720h4	10080r2	16800f3	23520bh4

---

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