Cremona's table of elliptic curves

7935 = 3 · 5 · 23²

Field	Data	Notes
Atkin-Lehner	3- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	7935f	Isogeny class
Conductor	7935	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	35328	Modular degree for the optimal curve
Δ	3523994337645 = 32 · 5 · 238	Discriminant
Eigenvalues	2 3- 5+ -2 -1  4  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-68946,-6990505]	[a1,a2,a3,a4,a6]
Generators	[-1605714:15307:10648]	Generators of the group modulo torsion
j	462843904/45	j-invariant
L	8.6982472634867	L(r)(E,1)/r!
Ω	0.29462818786962	Real period
R	4.9204656476702	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	126960be1 23805w1 39675q1 7935l1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 7935f1

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	-	+	-2	-1	4	0	-1	-	-6	-1	-6	3	-2	10	-10	8	-7	-10	-15	-6	5	-6	6	-2

---

Quadratic twists for elliptic curve 7935f1

-4	-3	5	-23
126960be1	23805w1	39675q1	7935l1

---

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