Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bk |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-34950806618112 = -1 · 214 · 32 · 7 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62048,-5935104] |
[a1,a2,a3,a4,a6] |
j |
-6449916994998625/8532911772 |
j-invariant |
L |
2.4197616200295 |
L(r)(E,1)/r! |
Ω |
0.15123509544685 |
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 |
10626q1 |
Quadratic twists by: -4 |