Atkin-Lehner |
3- 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
68085k |
Isogeny class |
Conductor |
68085 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
523522576804772205 = 36 · 5 · 172 · 896 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201542,1023504] |
[a1,a2,a3,a4,a6] |
j |
1241912091608857369/718137965438645 |
j-invariant |
L |
1.490575522352 |
L(r)(E,1)/r! |
Ω |
0.24842925527142 |
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 |
7565a2 |
Quadratic twists by: -3 |