Atkin-Lehner |
2- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650t |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-1569218750000 = -1 · 24 · 510 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 11+ 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9180,-341553] |
[a1,a2,a3,a4,a6] |
j |
-8760065625/160688 |
j-invariant |
L |
1.9488573202225 |
L(r)(E,1)/r! |
Ω |
0.24360716503646 |
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 |
45650o1 |
Quadratic twists by: 5 |