Cremona's table of elliptic curves

7904 = 2⁵ · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 13- 19+	Signs for the Atkin-Lehner involutions
Class	7904c	Isogeny class
Conductor	7904	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	6336	Modular degree for the optimal curve
Δ	-406075904 = -1 · 29 · 133 · 192	Discriminant
Eigenvalues	2+ -3 -1 -5  0 13- -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,77,934]	[a1,a2,a3,a4,a6]
Generators	[-3:26:1] [5:38:1]	Generators of the group modulo torsion
j	98611128/793117	j-invariant
L	3.2406368244386	L(r)(E,1)/r!
Ω	1.2293572350029	Real period
R	0.21967013412706	Regulator
r	2	Rank of the group of rational points
S	1.0000000000002	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7904f1 15808f1 71136bk1 102752n1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 7904c1

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
+	-3	-1	-5	0	-	-3	+	2	0	-8	-11	6	-11	7	14	-6	-10	-8	7	-4	-16	-12	0	-6

---

Quadratic twists for elliptic curve 7904c1

-4	8	-3	13
7904f1	15808f1	71136bk1	102752n1

---

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