Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886v |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-17175270402791424 = -1 · 211 · 35 · 7 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14039,-6338950] |
[a1,a2,a3,a4,a6] |
Generators |
[1686:1331:8] |
Generators of the group modulo torsion |
j |
-172715635009/9694992384 |
j-invariant |
L |
6.0125303737481 |
L(r)(E,1)/r! |
Ω |
0.17113909829613 |
Real period |
R |
3.5132418145239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626o1 |
Quadratic twists by: -11 |