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	11760cp	Isogeny class
Conductor	11760	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	16263797760000 = 213 · 33 · 54 · 76	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-226200,41332500]	[a1,a2,a3,a4,a6]
Generators	[30:5880:1]	Generators of the group modulo torsion
j	2656166199049/33750	j-invariant
L	5.7626802096424	L(r)(E,1)/r!
Ω	0.6334586786792	Real period
R	0.37904867907471	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	1470d4 47040ee5 35280dx5 58800fc5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cp5

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

---

Quadratic twists for elliptic curve 11760cp5

-4	8	-3	5	-7
1470d4	47040ee5	35280dx5	58800fc5	240b4

---

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