Atkin-Lehner |
3- 13+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
85527f |
Isogeny class |
Conductor |
85527 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
3872577033 = 36 · 132 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 3- 4 4 -6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-668,6094] |
[a1,a2,a3,a4,a6] |
j |
45156047481/5312177 |
j-invariant |
L |
2.6970914350567 |
L(r)(E,1)/r! |
Ω |
1.3485457438159 |
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 |
9503c1 |
Quadratic twists by: -3 |