Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60236c |
Isogeny class |
Conductor |
60236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
2650384 = 24 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 11+ -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-382,2749] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:73:1] [9:11:1] |
Generators of the group modulo torsion |
j |
282180352/121 |
j-invariant |
L |
9.2525238307011 |
L(r)(E,1)/r! |
Ω |
2.5194861573926 |
Real period |
R |
1.8361926306982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60236a1 |
Quadratic twists by: 37 |