Atkin-Lehner |
2+ 3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
32232a |
Isogeny class |
Conductor |
32232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-4862839712688 = -1 · 24 · 33 · 172 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,521,-106172] |
[a1,a2,a3,a4,a6] |
j |
975625299968/303927482043 |
j-invariant |
L |
0.36139280948995 |
L(r)(E,1)/r! |
Ω |
0.36139280949286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64464b1 96696h1 |
Quadratic twists by: -4 -3 |