Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700o |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-961825172343750000 = -1 · 24 · 316 · 510 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31875,-47134375] |
[a1,a2,a3,a4,a6] |
j |
31443200/8444007 |
j-invariant |
L |
2.0953816329848 |
L(r)(E,1)/r! |
Ω |
0.13096128112339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900h1 128700bl1 |
Quadratic twists by: -3 5 |