Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355a |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2160433113345 = 34 · 5 · 13 · 177 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5786,-156346] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:142:1] |
Generators of the group modulo torsion |
j |
887503681/89505 |
j-invariant |
L |
3.161491558343 |
L(r)(E,1)/r! |
Ω |
0.55095792949017 |
Real period |
R |
2.8690861761801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3315f1 |
Quadratic twists by: 17 |