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	7605p	Isogeny class
Conductor	7605	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-9.8455747617668E+18	Discriminant
Eigenvalues	-1 3- 5-  0  4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,319378,-134111194]	[a1,a2,a3,a4,a6]
Generators	[10097551653:-671671650698:2352637]	Generators of the group modulo torsion
j	1023887723039/2798036865	j-invariant
L	3.0041679799544	L(r)(E,1)/r!
Ω	0.11802376223545	Real period
R	12.726962448296	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121680eo3 2535f4 38025bb3 585f4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7605p4

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	-	-	0	4	+	-2	4	-8	2	8	-6	-6	-4	-8	-6	-12	-2	4	0	6	16	-4	10	-18

---

Quadratic twists for elliptic curve 7605p4

-4	-3	5	13
121680eo3	2535f4	38025bb3	585f4

---

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