Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800v |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1631232000000 = 216 · 33 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13808,626112] |
[a1,a2,a3,a4,a6] |
j |
4549540393/25488 |
j-invariant |
L |
1.6951985185471 |
L(r)(E,1)/r! |
Ω |
0.84759926118024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8850be1 2832b1 |
Quadratic twists by: -4 5 |