Atkin-Lehner |
2+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72896f |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
5781443575808 = 218 · 173 · 672 |
Discriminant |
Eigenvalues |
2+ 2 4 -2 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5121,82433] |
[a1,a2,a3,a4,a6] |
j |
56667352321/22054457 |
j-invariant |
L |
4.1444817062415 |
L(r)(E,1)/r! |
Ω |
0.69074695358874 |
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 |
72896v1 1139b1 |
Quadratic twists by: -4 8 |