Atkin-Lehner |
3- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915u |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16608 |
Modular degree for the optimal curve |
Δ |
-208136355 = -1 · 3 · 5 · 7 · 172 · 193 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,30,701] |
[a1,a2,a3,a4,a6] |
j |
2887553024/208136355 |
j-invariant |
L |
8.1534750319348 |
L(r)(E,1)/r! |
Ω |
1.3589125053223 |
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 |
101745u1 |
Quadratic twists by: -3 |