Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600bx |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-953125000000 = -1 · 26 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,-45738] |
[a1,a2,a3,a4,a6] |
j |
107850176/953125 |
j-invariant |
L |
6.9832053829816 |
L(r)(E,1)/r! |
Ω |
0.43645035179197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600ca1 48800n2 19520w1 |
Quadratic twists by: -4 8 5 |