Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cy |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
2306490368 = 214 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 4 7- 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1041,-13073] |
[a1,a2,a3,a4,a6] |
j |
7622072656/140777 |
j-invariant |
L |
3.3654961904555 |
L(r)(E,1)/r! |
Ω |
0.84137405496841 |
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 |
99008j1 24752o1 |
Quadratic twists by: -4 8 |