Atkin-Lehner |
2- 3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bg |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2818918511388 = -1 · 22 · 32 · 78 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81633,8970885] |
[a1,a2,a3,a4,a6] |
j |
-60161868460513716625/2818918511388 |
j-invariant |
L |
3.0345021339392 |
L(r)(E,1)/r! |
Ω |
0.75862553348394 |
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 |
100674e1 |
Quadratic twists by: -3 |