Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525bo |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6690816 |
Modular degree for the optimal curve |
Δ |
-2.5493924448526E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14185040,21954975162] |
[a1,a2,a3,a4,a6] |
j |
-3463999626063346990829/279768718227989907 |
j-invariant |
L |
0.93478127536848 |
L(r)(E,1)/r! |
Ω |
0.11684773799801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175r1 105525bk1 |
Quadratic twists by: -3 5 |