Cremona's table of elliptic curves

3344 = 2⁴ · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 11- 19+	Signs for the Atkin-Lehner involutions
Class	3344i	Isogeny class
Conductor	3344	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2496	Modular degree for the optimal curve
Δ	-77141639168 = -1 · 225 · 112 · 19	Discriminant
Eigenvalues	2-  1 -2  3 11-  1 -7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1056,2420]	[a1,a2,a3,a4,a6]
Generators	[58:512:1]	Generators of the group modulo torsion
j	31764658463/18833408	j-invariant
L	3.8136975119379	L(r)(E,1)/r!
Ω	0.66277394083074	Real period
R	0.71926815407786	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	418b1 13376q1 30096x1 83600bu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3344i1

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	3	-	1	-7	+	5	1	-10	-6	6	4	0	-1	-3	-12	-3	10	3	-8	-8	-8	8

---

Quadratic twists for elliptic curve 3344i1

-4	8	-3	5	-11	-19
418b1	13376q1	30096x1	83600bu1	36784bf1	63536bo1

---

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