Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
52094m |
Isogeny class |
Conductor |
52094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2635200 |
Modular degree for the optimal curve |
Δ |
327436090599355948 = 22 · 7 · 619 |
Discriminant |
Eigenvalues |
2- 1 4 7- 5 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5055056,-4374921772] |
[a1,a2,a3,a4,a6] |
j |
1221611509/28 |
j-invariant |
L |
10.068590050279 |
L(r)(E,1)/r! |
Ω |
0.1006859005294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52094c1 |
Quadratic twists by: 61 |