Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390bk |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2812160 |
Modular degree for the optimal curve |
Δ |
-6.646800384E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5996497,-11043108169] |
[a1,a2,a3,a4,a6] |
j |
32710645463537765084759/91176960000000000000 |
j-invariant |
L |
2.9410765656481 |
L(r)(E,1)/r! |
Ω |
0.056559164724132 |
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 |
11130u1 |
Quadratic twists by: -3 |