Atkin-Lehner |
3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275k |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10758912328125 = 311 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1133449205,-14687329157328] |
[a1,a2,a3,a4,a6] |
j |
14137816614617731097417473/944541 |
j-invariant |
L |
1.8734043992909 |
L(r)(E,1)/r! |
Ω |
0.026019505536594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22425b4 2691e3 |
Quadratic twists by: -3 5 |