Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188l |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-11179378809648 = -1 · 24 · 33 · 78 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22932,-1346275] |
[a1,a2,a3,a4,a6] |
j |
-26240827392/219961 |
j-invariant |
L |
0.77553540344207 |
L(r)(E,1)/r! |
Ω |
0.19388392358869 |
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 |
118188i1 16884e1 |
Quadratic twists by: -3 -7 |