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	3360c	Isogeny class
Conductor	3360	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	243855360 = 212 · 35 · 5 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4 -6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-317521,-68760575]	[a1,a2,a3,a4,a6]
Generators	[34438797:1792389016:12167]	Generators of the group modulo torsion
j	864335783029582144/59535	j-invariant
L	2.7422267596286	L(r)(E,1)/r!
Ω	0.20112049409653	Real period
R	13.634745538724	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	3360k3 6720ci1 10080bz3 16800bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360c2

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

---

Quadratic twists for elliptic curve 3360c2

-4	8	-3	5	-7
3360k3	6720ci1	10080bz3	16800bz2	23520w4

---

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