Atkin-Lehner |
17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
22831a |
Isogeny class |
Conductor |
22831 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
159263518135471 = 1710 · 79 |
Discriminant |
Eigenvalues |
-1 -1 -1 -1 2 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14456,274842] |
[a1,a2,a3,a4,a6] |
Generators |
[18:135:1] |
Generators of the group modulo torsion |
j |
13841287201/6598159 |
j-invariant |
L |
1.9708293525582 |
L(r)(E,1)/r! |
Ω |
0.51306361369858 |
Real period |
R |
1.9206481418073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1343a1 |
Quadratic twists by: 17 |