Cremona's table of elliptic curves

3366 = 2 · 3² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	3366n	Isogeny class
Conductor	3366	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	324374580288 = 26 · 313 · 11 · 172	Discriminant
Eigenvalues	2- 3-  2 -2 11+  0 17-  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4919,-128689]	[a1,a2,a3,a4,a6]
j	18052771191337/444958272	j-invariant
L	3.4256344671667	L(r)(E,1)/r!
Ω	0.57093907786112	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	26928bw1 107712cn1 1122d1 84150be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366n1

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	-2	+	0	-	6	6	2	4	-10	6	-10	12	4	10	10	-4	-6	16	6	4	2	2

---

Quadratic twists for elliptic curve 3366n1

-4	8	-3	5	-11	17
26928bw1	107712cn1	1122d1	84150be1	37026k1	57222bv1

---

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