Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800bp |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
4672000000 = 212 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2500,-48000] |
[a1,a2,a3,a4,a6] |
j |
27000000/73 |
j-invariant |
L |
1.3505631002326 |
L(r)(E,1)/r! |
Ω |
0.67528192550148 |
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 |
116800bq1 58400k1 4672c1 |
Quadratic twists by: -4 8 5 |