Atkin-Lehner |
2- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33592j |
Isogeny class |
Conductor |
33592 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4587520 |
Modular degree for the optimal curve |
Δ |
1.2373610089528E+23 |
Discriminant |
Eigenvalues |
2- 2 0 -2 -4 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138226648,625329273564] |
[a1,a2,a3,a4,a6] |
j |
285232552327671468883334500/120836036030550837113 |
j-invariant |
L |
1.4396644296275 |
L(r)(E,1)/r! |
Ω |
0.1028331735451 |
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 |
67184f1 |
Quadratic twists by: -4 |