Atkin-Lehner |
3- 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575l |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
50337890625 = 3 · 59 · 112 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13776,621073] |
[a1,a2,a3,a4,a6] |
j |
18502387396849/3221625 |
j-invariant |
L |
2.1831398086236 |
L(r)(E,1)/r! |
Ω |
1.0915699054219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715a1 |
Quadratic twists by: 5 |