Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312ci |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
401414623232 = 212 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -2 0 7- 6 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54553,4886055] |
[a1,a2,a3,a4,a6] |
j |
37259704000/833 |
j-invariant |
L |
1.7516825304541 |
L(r)(E,1)/r! |
Ω |
0.87584126435427 |
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 |
53312cc1 26656h1 7616l1 |
Quadratic twists by: -4 8 -7 |