Cremona's table of elliptic curves

3363 = 3 · 19 · 59

Field	Data	Notes
Atkin-Lehner	3- 19+ 59+	Signs for the Atkin-Lehner involutions
Class	3363d	Isogeny class
Conductor	3363	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	54288	Modular degree for the optimal curve
Δ	1277738503786280817 = 313 · 19 · 596	Discriminant
Eigenvalues	1 3- -2  0 -6  0  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-562627,153012761]	[a1,a2,a3,a4,a6]
j	19696284638611629311017/1277738503786280817	j-invariant
L	1.7369343962417	L(r)(E,1)/r!
Ω	0.26722067634488	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	53808o1 10089e1 84075a1 63897g1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 3363d1

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
1	-	-2	0	-6	0	6	+	-2	2	2	8	10	8	6	6	+	-2	2	0	-14	-12	10	10	4

---

Quadratic twists for elliptic curve 3363d1

-4	-3	5	-19
53808o1	10089e1	84075a1	63897g1

---

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