Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800by |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
20 |
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] |
j |
88490145600000/43682250157 |
j-invariant |
L |
5.9144806595293 |
L(r)(E,1)/r! |
Ω |
0.2957240331385 |
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 |
72800cj1 72800p1 |
Quadratic twists by: -4 5 |