Atkin-Lehner |
2+ 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26166i |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
1282134 = 2 · 3 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75,-248] |
[a1,a2,a3,a4,a6] |
j |
19061833/534 |
j-invariant |
L |
1.6276964342019 |
L(r)(E,1)/r! |
Ω |
1.6276964342021 |
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 |
78498bq1 26166e1 |
Quadratic twists by: -3 -7 |