Atkin-Lehner |
3+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725l |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6652800 |
Modular degree for the optimal curve |
Δ |
-2.820215916862E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ -2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3850313,8588434013] |
[a1,a2,a3,a4,a6] |
j |
-252506128493374764482560/1128086366744785078323 |
j-invariant |
L |
0.8227331683084 |
L(r)(E,1)/r! |
Ω |
0.10284166394549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725cd1 |
Quadratic twists by: 5 |