Cremona's table of elliptic curves

35301 = 3 · 7 · 41²

Field	Data	Notes
Atkin-Lehner	3+ 7- 41-	Signs for the Atkin-Lehner involutions
Class	35301g	Isogeny class
Conductor	35301	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	964320	Modular degree for the optimal curve
Δ	95076504703143747 = 35 · 72 · 418	Discriminant
Eigenvalues	-1 3+ -4 7- -3  5  4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1092685,438927656]	[a1,a2,a3,a4,a6]
Generators	[700:3852:1]	Generators of the group modulo torsion
j	18069154321/11907	j-invariant
L	1.8957849448572	L(r)(E,1)/r!
Ω	0.33448920126371	Real period
R	0.9446169152329	Regulator
r	1	Rank of the group of rational points
S	0.99999999999924	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	105903m1 35301i1	Quadratic twists by: -3 41

Hecke Eigenvalues for elliptic curve 35301g1

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	+	-4	-	-3	5	4	-4	-7	6	-8	9	-	0	12	0	-9	-1	2	13	11	-10	-5	-10	18

---

Quadratic twists for elliptic curve 35301g1

-3	41
105903m1	35301i1

---

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