Cremona's table of elliptic curves

5776 = 2⁴ · 19²

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Class	5776q	Isogeny class
Conductor	5776	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-3661298642944 = -1 · 212 · 197	Discriminant
Eigenvalues	2- -2  3  1 -3  4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4443669,-3606941501]	[a1,a2,a3,a4,a6]
Generators	[151976244190:-9722620510107:29791000]	Generators of the group modulo torsion
j	-50357871050752/19	j-invariant
L	3.4405788329016	L(r)(E,1)/r!
Ω	0.051991712857643	Real period
R	16.543880956192	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	361b3 23104bz3 51984cw3 304e3	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 5776q3

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	3	1	-3	4	-3	-	0	-6	-4	-2	6	1	3	-12	-6	-1	-4	6	-7	8	-12	-12	-8

---

Quadratic twists for elliptic curve 5776q3

-4	8	-3	-19
361b3	23104bz3	51984cw3	304e3

---

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