Atkin-Lehner |
3+ 5+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925j |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
35859111328125 = 37 · 510 · 23 · 73 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 -2 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17708,865943] |
[a1,a2,a3,a4,a6] |
j |
62886400000/3671973 |
j-invariant |
L |
2.5658504321657 |
L(r)(E,1)/r! |
Ω |
0.64146276952157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125925be1 |
Quadratic twists by: 5 |