Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cr |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-1683136 = -1 · 26 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 1 7- 0 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62,-198] |
[a1,a2,a3,a4,a6] |
j |
-411830784/26299 |
j-invariant |
L |
1.6951224313217 |
L(r)(E,1)/r! |
Ω |
0.84756121702962 |
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 |
99008bv1 49504f1 |
Quadratic twists by: -4 8 |