Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232u |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
557056 |
Modular degree for the optimal curve |
Δ |
5532835965844032 = 26 · 36 · 179 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44217,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.72327747580209 |
L(r)(E,1)/r! |
Ω |
0.36163869843403 |
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 |
83232u1 9248f1 83232r1 |
Quadratic twists by: -4 -3 17 |