Atkin-Lehner |
3+ 7+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18291b |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-5410580247891 = -1 · 37 · 75 · 133 · 67 |
Discriminant |
Eigenvalues |
2 3+ -2 7+ -4 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10494,432155] |
[a1,a2,a3,a4,a6] |
j |
-127816898787684352/5410580247891 |
j-invariant |
L |
0.75640916344084 |
L(r)(E,1)/r! |
Ω |
0.75640916344084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54873j1 128037o1 |
Quadratic twists by: -3 -7 |