Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088k |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
363968 = 26 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,172] |
[a1,a2,a3,a4,a6] |
j |
354894912/5687 |
j-invariant |
L |
1.5133814464975 |
L(r)(E,1)/r! |
Ω |
3.0267628930139 |
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 |
33088i1 16544a2 |
Quadratic twists by: -4 8 |