Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525p |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
5.550886052418E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9551500,-780348125] |
[a1,a2,a3,a4,a6] |
Generators |
[92377033144170:726317673780515:29189662039] |
Generators of the group modulo torsion |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
6.9828449596652 |
L(r)(E,1)/r! |
Ω |
0.093509973084083 |
Real period |
R |
18.668717168238 |
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 |
12705o1 5775d1 |
Quadratic twists by: 5 -11 |