Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968eo |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
-1.6445568525651E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27396699,27575648683] |
[a1,a2,a3,a4,a6] |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
3.8577242146378 |
L(r)(E,1)/r! |
Ω |
0.053579514854365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492bh1 40656cq1 11088bs1 |
Quadratic twists by: -4 -3 -11 |