Atkin-Lehner |
2+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
66400d |
Isogeny class |
Conductor |
66400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-571787000000 = -1 · 26 · 56 · 833 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 -3 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1525,-43000] |
[a1,a2,a3,a4,a6] |
Generators |
[723765:5198950:9261] |
Generators of the group modulo torsion |
j |
-392223168/571787 |
j-invariant |
L |
12.747375834967 |
L(r)(E,1)/r! |
Ω |
0.36297071830073 |
Real period |
R |
8.7798926964161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66400h1 2656f1 |
Quadratic twists by: -4 5 |