Cremona's table of elliptic curves

11760 = 2⁴ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	11760ch	Isogeny class
Conductor	11760	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	6.2505038393764E+19	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-94119216,-351482801580]	[a1,a2,a3,a4,a6]
j	191342053882402567201/129708022500	j-invariant
L	3.1021298357984	L(r)(E,1)/r!
Ω	0.04847077868435	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1470k5 47040fl6 35280fs6 58800fz6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760ch5

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
-	-	+	-	4	2	-2	4	8	-2	0	6	6	4	0	-10	12	-14	12	8	-10	-16	-12	-10	-2

---

Quadratic twists for elliptic curve 11760ch5

-4	8	-3	5	-7
1470k5	47040fl6	35280fs6	58800fz6	1680p5

---

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