Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71632i |
Isogeny class |
Conductor |
71632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-2209190477824 = -1 · 215 · 113 · 373 |
Discriminant |
Eigenvalues |
2- -2 3 0 11+ 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137144,-19594412] |
[a1,a2,a3,a4,a6] |
j |
-52326213849827/405224 |
j-invariant |
L |
1.984700022334 |
L(r)(E,1)/r! |
Ω |
0.1240437509306 |
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 |
8954a1 71632h1 |
Quadratic twists by: -4 -11 |