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	3344d	Isogeny class
Conductor	3344	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-357834752 = -1 · 213 · 112 · 192	Discriminant
Eigenvalues	2-  0  2 -2 11+ -2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,101,-822]	[a1,a2,a3,a4,a6]
j	27818127/87362	j-invariant
L	1.7400229634507	L(r)(E,1)/r!
Ω	0.87001148172535	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	418a2 13376s2 30096bg2 83600bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3344d2

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
-	0	2	-2	+	-2	6	+	8	-6	-6	8	6	8	8	12	0	-8	8	6	-14	12	12	2	-2

---

Quadratic twists for elliptic curve 3344d2

-4	8	-3	5	-11	-19
418a2	13376s2	30096bg2	83600bc2	36784ba2	63536r2

---

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