Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cj |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4092928 |
Modular degree for the optimal curve |
Δ |
-2447167929909248 = -1 · 216 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82744513,-289678040095] |
[a1,a2,a3,a4,a6] |
j |
-956007720229412472866500/37340819243 |
j-invariant |
L |
0.35039885844662 |
L(r)(E,1)/r! |
Ω |
0.025028496261417 |
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 |
99008bj1 24752d1 |
Quadratic twists by: -4 8 |