Atkin-Lehner |
5+ 37+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
49025c |
Isogeny class |
Conductor |
49025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
5243376953125 = 59 · 373 · 53 |
Discriminant |
Eigenvalues |
1 -3 5+ -2 -3 -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11317,-447284] |
[a1,a2,a3,a4,a6] |
j |
10259335203489/335576125 |
j-invariant |
L |
0.92761010249794 |
L(r)(E,1)/r! |
Ω |
0.46380505107943 |
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 |
9805b1 |
Quadratic twists by: 5 |