Atkin-Lehner |
2- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400bt |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-2528000000000 = -1 · 214 · 59 · 79 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 -5 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,76000] |
[a1,a2,a3,a4,a6] |
j |
221184/9875 |
j-invariant |
L |
1.232578399057 |
L(r)(E,1)/r! |
Ω |
0.61628924835812 |
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 |
126400y1 31600i1 25280p1 |
Quadratic twists by: -4 8 5 |