Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700l |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-16288593750000 = -1 · 24 · 36 · 510 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5625,253125] |
[a1,a2,a3,a4,a6] |
j |
-172800/143 |
j-invariant |
L |
2.5510434150453 |
L(r)(E,1)/r! |
Ω |
0.6377603281608 |
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 |
14300h1 128700bh1 |
Quadratic twists by: -3 5 |