Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600t |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
27720225000000 = 26 · 38 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10425,-322000] |
[a1,a2,a3,a4,a6] |
j |
171879616/38025 |
j-invariant |
L |
1.9197358601538 |
L(r)(E,1)/r! |
Ω |
0.47993398671593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93600w1 31200be1 18720bp1 |
Quadratic twists by: -4 -3 5 |