Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800cj |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
111826560401920000 = 212 · 54 · 76 · 135 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127000,-6678800] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:-2548:1] |
Generators of the group modulo torsion |
j |
88490145600000/43682250157 |
j-invariant |
L |
3.484261791207 |
L(r)(E,1)/r! |
Ω |
0.26600701267478 |
Real period |
R |
0.2183063869869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72800by1 72800g1 |
Quadratic twists by: -4 5 |