Atkin-Lehner |
5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113735f |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-16651656355225435 = -1 · 5 · 239 · 432 |
Discriminant |
Eigenvalues |
-2 2 5+ -1 2 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-306996,65866882] |
[a1,a2,a3,a4,a6] |
Generators |
[-13515:261577:27] |
Generators of the group modulo torsion |
j |
-21615050838016/112483915 |
j-invariant |
L |
5.004917879287 |
L(r)(E,1)/r! |
Ω |
0.39272630835186 |
Real period |
R |
1.5930044221111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998246044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4945e1 |
Quadratic twists by: -23 |