Atkin-Lehner |
2+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008m |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-997062430687232 = -1 · 228 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -1 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92513,10967521] |
[a1,a2,a3,a4,a6] |
j |
-334038694641625/3803491328 |
j-invariant |
L |
0.99193930079566 |
L(r)(E,1)/r! |
Ω |
0.49596960492399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008dc1 3094a1 |
Quadratic twists by: -4 8 |