Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9048h |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-2.0915765097533E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1480452,59280480] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:4872:1] |
Generators of the group modulo torsion |
j |
1401736707877453022000/817022074122378423 |
j-invariant |
L |
5.3089933448187 |
L(r)(E,1)/r! |
Ω |
0.10743928460081 |
Real period |
R |
3.2942595529149 |
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 |
18096c1 72384m1 27144i1 117624bw1 |
Quadratic twists by: -4 8 -3 13 |