Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800t |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1625625000000 = 26 · 32 · 510 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21258,-1198512] |
[a1,a2,a3,a4,a6] |
j |
1062456969664/1625625 |
j-invariant |
L |
0.79083732000489 |
L(r)(E,1)/r! |
Ω |
0.39541866002452 |
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 |
40800bf1 81600b2 122400dl1 8160k1 |
Quadratic twists by: -4 8 -3 5 |