Atkin-Lehner |
5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8525a |
Isogeny class |
Conductor |
8525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-572357177734375 = -1 · 516 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 2 5+ -4 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24088,1832656] |
[a1,a2,a3,a4,a6] |
j |
-98925223576249/36630859375 |
j-invariant |
L |
0.97349527774123 |
L(r)(E,1)/r! |
Ω |
0.48674763887062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725x1 1705a1 93775e1 |
Quadratic twists by: -3 5 -11 |