Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600ck |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
689692320000000000 = 214 · 310 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445008,-107196012] |
[a1,a2,a3,a4,a6] |
j |
152281858840201/10776442500 |
j-invariant |
L |
3.713386577057 |
L(r)(E,1)/r! |
Ω |
0.18566933369897 |
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 |
10950w1 17520n1 |
Quadratic twists by: -4 5 |