Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
75036h |
Isogeny class |
Conductor |
75036 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
28515505339842768 = 24 · 310 · 138 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 4 4 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-365941,84694832] |
[a1,a2,a3,a4,a6] |
j |
70174287855616/369233397 |
j-invariant |
L |
7.5101956732722 |
L(r)(E,1)/r! |
Ω |
0.37550978392704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5772d1 |
Quadratic twists by: 13 |