Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008ck |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2976768 |
Modular degree for the optimal curve |
Δ |
-152712922328465408 = -1 · 235 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ -3 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1595116,775647056] |
[a1,a2,a3,a4,a6] |
j |
-1712224094099844753/582553567232 |
j-invariant |
L |
3.8212208767836 |
L(r)(E,1)/r! |
Ω |
0.31843509385429 |
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 |
99008bl1 24752s1 |
Quadratic twists by: -4 8 |