Atkin-Lehner |
5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33235c |
Isogeny class |
Conductor |
33235 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
416160 |
Modular degree for the optimal curve |
Δ |
3332689916679753125 = 55 · 1710 · 232 |
Discriminant |
Eigenvalues |
0 2 5- 0 -3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-445445,73494613] |
[a1,a2,a3,a4,a6] |
j |
4848615424/1653125 |
j-invariant |
L |
2.3106788499051 |
L(r)(E,1)/r! |
Ω |
0.23106788499115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33235b1 |
Quadratic twists by: 17 |