Atkin-Lehner |
2- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070p |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
34408800 |
Modular degree for the optimal curve |
Δ |
-1.639692505088E+27 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,61850374,-1939183259001] |
[a1,a2,a3,a4,a6] |
j |
19659508068882835611696421/1231925248000000000000000 |
j-invariant |
L |
1.2213726545054 |
L(r)(E,1)/r! |
Ω |
0.022618010773752 |
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 |
81070a1 |
Quadratic twists by: -11 |