Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33660m |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-3.1428319169095E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3982647,-3071053186] |
[a1,a2,a3,a4,a6] |
j |
-37434467729693602384/168404488003125 |
j-invariant |
L |
2.6710358546216 |
L(r)(E,1)/r! |
Ω |
0.053420717092316 |
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 |
11220a1 |
Quadratic twists by: -3 |