Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200dp |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-8576000 = -1 · 210 · 53 · 67 |
Discriminant |
Eigenvalues |
2- -3 5- 3 -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,-3800] |
[a1,a2,a3,a4,a6] |
j |
-84098304/67 |
j-invariant |
L |
1.030834936259 |
L(r)(E,1)/r! |
Ω |
0.51541772746812 |
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 |
107200bg1 26800m1 107200de1 |
Quadratic twists by: -4 8 5 |