Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775bs |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1251936 |
Modular degree for the optimal curve |
Δ |
-1526904104546149875 = -1 · 39 · 53 · 710 · 133 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 0 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-188078,67294583] |
[a1,a2,a3,a4,a6] |
j |
-20837691392/43243551 |
j-invariant |
L |
1.430597824135 |
L(r)(E,1)/r! |
Ω |
0.23843297076726 |
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 |
47775dl1 47775cy1 |
Quadratic twists by: 5 -7 |