Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cs |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-739300015365184 = -1 · 26 · 72 · 138 · 172 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9361,1260880] |
[a1,a2,a3,a4,a6] |
j |
1417458895858368/11551562740081 |
j-invariant |
L |
2.9597290921428 |
L(r)(E,1)/r! |
Ω |
0.36996614582295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008bw1 49504t2 |
Quadratic twists by: -4 8 |