Atkin-Lehner |
2- 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394ca |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-1707364073616106752 = -1 · 28 · 313 · 75 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11- 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,119969,60848261] |
[a1,a2,a3,a4,a6] |
j |
13042470457574591/116615263548672 |
j-invariant |
L |
4.669202300472 |
L(r)(E,1)/r! |
Ω |
0.19455009682282 |
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 |
86394o1 |
Quadratic twists by: -11 |