Atkin-Lehner |
2- 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bv |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
45062136611843274 = 2 · 33 · 75 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-131205,-15230511] |
[a1,a2,a3,a4,a6] |
j |
2064380297174770201/372414352163994 |
j-invariant |
L |
1.7777226812862 |
L(r)(E,1)/r! |
Ω |
0.25396039026782 |
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 |
86394h1 |
Quadratic twists by: -11 |