Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824bb |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
165193168168419328 = 226 · 79 · 61 |
Discriminant |
Eigenvalues |
2- -3 2 7- -3 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1321579,584446618] |
[a1,a2,a3,a4,a6] |
j |
1544403549879/999424 |
j-invariant |
L |
1.2774547648413 |
L(r)(E,1)/r! |
Ω |
0.31936369109805 |
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 |
5978m1 47824p1 |
Quadratic twists by: -4 -7 |