Atkin-Lehner |
5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113735d |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-3.0253736110511E+19 |
Discriminant |
Eigenvalues |
1 -1 5+ 2 -1 5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,720752,-120374767] |
[a1,a2,a3,a4,a6] |
Generators |
[340119974:12255488763:1191016] |
Generators of the group modulo torsion |
j |
279713432716199/204367578125 |
j-invariant |
L |
7.040997824423 |
L(r)(E,1)/r! |
Ω |
0.11730625542443 |
Real period |
R |
7.502794494729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4945d1 |
Quadratic twists by: -23 |