Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ce |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.369626E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43533228,-1011785533648] |
[a1,a2,a3,a4,a6] |
Generators |
[2974047281807179265317112611863597399703965333345866463768476:-5549928875135740410288623653283230487092418545257918913281250000:854018348939770119109553630096837059557012037726088251] |
Generators of the group modulo torsion |
j |
-47744008200656797609/2286529541015625000 |
j-invariant |
L |
8.2637549587194 |
L(r)(E,1)/r! |
Ω |
0.023183456516883 |
Real period |
R |
89.112628265926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fi3 3330x4 35520s3 |
Quadratic twists by: -4 8 -3 |