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	11760cb	Isogeny class
Conductor	11760	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-371658978754560 = -1 · 219 · 310 · 5 · 74	Discriminant
Eigenvalues	2- 3- 5+ 7+  1  1  0  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9816,-1003500]	[a1,a2,a3,a4,a6]
Generators	[534:-12096:1]	Generators of the group modulo torsion
j	-10637008249/37791360	j-invariant
L	5.3495199135818	L(r)(E,1)/r!
Ω	0.22003217709313	Real period
R	0.20260369734156	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	1470a1 47040et1 35280ew1 58800et1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cb1

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	1	0	3	-7	-8	2	11	-11	-8	5	-11	-4	0	0	6	-6	8	-8	-10	-16

---

Quadratic twists for elliptic curve 11760cb1

-4	8	-3	5	-7
1470a1	47040et1	35280ew1	58800et1	11760bv1

---

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