Atkin-Lehner |
2- 7+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88816l |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-562781580734464 = -1 · 212 · 75 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 6 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57701,-5436403] |
[a1,a2,a3,a4,a6] |
j |
-5187060462628864/137397846859 |
j-invariant |
L |
3.6906714977463 |
L(r)(E,1)/r! |
Ω |
0.15377798159834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5551c1 |
Quadratic twists by: -4 |