Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360n |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
69874661967264000 = 28 · 314 · 53 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-367796,85029120] |
[a1,a2,a3,a4,a6] |
j |
62663090868014128/795766467375 |
j-invariant |
L |
0.69565082538693 |
L(r)(E,1)/r! |
Ω |
0.34782557044496 |
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 |
64680cx1 129360ct1 |
Quadratic twists by: -4 -7 |