Atkin-Lehner |
5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81685g |
Isogeny class |
Conductor |
81685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-215239975 = -1 · 52 · 172 · 313 |
Discriminant |
Eigenvalues |
-1 2 5- 0 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,135,422] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1249:64] |
Generators of the group modulo torsion |
j |
9129329/7225 |
j-invariant |
L |
7.1775021880548 |
L(r)(E,1)/r! |
Ω |
1.1419664940011 |
Real period |
R |
3.1426062953636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81685i1 |
Quadratic twists by: -31 |