Atkin-Lehner |
3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15975s |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1.5825948237095E+19 |
Discriminant |
Eigenvalues |
2 3- 5- 1 6 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40125,-191425469] |
[a1,a2,a3,a4,a6] |
Generators |
[407881574:4339215095:636056] |
Generators of the group modulo torsion |
j |
-25088880640/55575346347 |
j-invariant |
L |
10.272722580845 |
L(r)(E,1)/r! |
Ω |
0.099914463899169 |
Real period |
R |
12.85189623698 |
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 |
5325g1 15975j1 |
Quadratic twists by: -3 5 |