Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bd |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
105516569600 = 210 · 52 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32605,-2276925] |
[a1,a2,a3,a4,a6] |
j |
3743602157737984/103043525 |
j-invariant |
L |
0.71057186845561 |
L(r)(E,1)/r! |
Ω |
0.35528601334055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cm1 15080c1 |
Quadratic twists by: -4 8 |