Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36080t |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
32512409600 = 218 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1440,-18688] |
[a1,a2,a3,a4,a6] |
j |
80677568161/7937600 |
j-invariant |
L |
3.1194930886899 |
L(r)(E,1)/r! |
Ω |
0.77987327216962 |
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 |
4510k1 |
Quadratic twists by: -4 |