Atkin-Lehner |
2- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10582h |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-4336467705856 = -1 · 217 · 11 · 133 · 372 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3188,71567] |
[a1,a2,a3,a4,a6] |
Generators |
[5:293:1] |
Generators of the group modulo torsion |
j |
3584316551198319/4336467705856 |
j-invariant |
L |
6.3848630763811 |
L(r)(E,1)/r! |
Ω |
0.51999522263952 |
Real period |
R |
0.36113810724753 |
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 |
84656h1 95238j1 116402o1 |
Quadratic twists by: -4 -3 -11 |