Atkin-Lehner |
13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86411f |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
465120 |
Modular degree for the optimal curve |
Δ |
-602782176234251 = -1 · 13 · 1710 · 23 |
Discriminant |
Eigenvalues |
-2 1 1 3 5 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27840,2133652] |
[a1,a2,a3,a4,a6] |
j |
-1183744/299 |
j-invariant |
L |
1.9615249814773 |
L(r)(E,1)/r! |
Ω |
0.49038123373898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86411m1 |
Quadratic twists by: 17 |