Atkin-Lehner |
2- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55648a |
Isogeny class |
Conductor |
55648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
286848 |
Modular degree for the optimal curve |
Δ |
-17048410429542848 = -1 · 26 · 376 · 473 |
Discriminant |
Eigenvalues |
2- 0 -2 0 6 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,839,-6282024] |
[a1,a2,a3,a4,a6] |
j |
1020539034432/266381412961607 |
j-invariant |
L |
0.71697500030584 |
L(r)(E,1)/r! |
Ω |
0.17924375084644 |
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 |
55648c1 111296i1 |
Quadratic twists by: -4 8 |