Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
110864m |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
-2.917789215464E+19 |
Discriminant |
Eigenvalues |
2- -1 2 2 -2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-463792,-286762048] |
[a1,a2,a3,a4,a6] |
Generators |
[299136194:22816543646:50653] |
Generators of the group modulo torsion |
j |
-558051585337/1475821568 |
j-invariant |
L |
7.3448122508985 |
L(r)(E,1)/r! |
Ω |
0.085005386467043 |
Real period |
R |
10.800510061643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858l1 8528d1 |
Quadratic twists by: -4 13 |