Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736m |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1745296905456 = -1 · 24 · 36 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16280,796641] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1521:1] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
11.778971863274 |
L(r)(E,1)/r! |
Ω |
0.84210361507468 |
Real period |
R |
0.58281484961802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744g1 |
Quadratic twists by: 13 |