Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736f |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
2407860928751616 = 211 · 35 · 132 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 -6 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47064,3157452] |
[a1,a2,a3,a4,a6] |
j |
33310625591906/6956883693 |
j-invariant |
L |
2.1704422562324 |
L(r)(E,1)/r! |
Ω |
0.43408863454333 |
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 |
125736n1 |
Quadratic twists by: 13 |