Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120do |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-432048727523635200 = -1 · 212 · 39 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-574992,-170772624] |
[a1,a2,a3,a4,a6] |
j |
-1216512/25 |
j-invariant |
L |
0.34632620940715 |
L(r)(E,1)/r! |
Ω |
0.086581567016326 |
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 |
5445d1 87120db1 87120dm1 |
Quadratic twists by: -4 -3 -11 |