Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
71094h |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2336256 |
Modular degree for the optimal curve |
Δ |
-3387095550636589056 = -1 · 226 · 3 · 177 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -2 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46680,88627750] |
[a1,a2,a3,a4,a6] |
j |
-466025146777/140324634624 |
j-invariant |
L |
1.6323454056404 |
L(r)(E,1)/r! |
Ω |
0.20404317466606 |
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 |
4182d1 |
Quadratic twists by: 17 |