Cremona's table of elliptic curves

7605 = 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	7605i	Isogeny class
Conductor	7605	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-1515603301875 = -1 · 315 · 54 · 132	Discriminant
Eigenvalues	0 3- 5+  1  6 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,2652,-27297]	[a1,a2,a3,a4,a6]
j	16742875136/12301875	j-invariant
L	1.9029091267253	L(r)(E,1)/r!
Ω	0.47572728168132	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121680dk1 2535j1 38025z1 7605o1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7605i1

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	-	+	1	6	+	0	4	6	6	-5	-2	0	11	6	0	6	-1	-11	-6	-5	11	12	12	-17

---

Quadratic twists for elliptic curve 7605i1

-4	-3	5	13
121680dk1	2535j1	38025z1	7605o1

---

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