Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570x |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4537728 |
Modular degree for the optimal curve |
Δ |
-8.0832821921491E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 3 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2014054,813725479] |
[a1,a2,a3,a4,a6] |
Generators |
[449571:58004489:27] |
Generators of the group modulo torsion |
j |
85201425188027/76225024000 |
j-invariant |
L |
15.587595858459 |
L(r)(E,1)/r! |
Ω |
0.10364521187291 |
Real period |
R |
6.2664077630335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89570m1 |
Quadratic twists by: 13 |