Atkin-Lehner |
2+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728g |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-69325227712 = -1 · 26 · 133 · 793 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 -6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653,14423] |
[a1,a2,a3,a4,a6] |
Generators |
[82:711:1] [-118:1149:8] |
Generators of the group modulo torsion |
j |
-481890304000/1083206683 |
j-invariant |
L |
13.134615250998 |
L(r)(E,1)/r! |
Ω |
0.97321474943707 |
Real period |
R |
4.4987039974538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728o2 1027a2 |
Quadratic twists by: -4 8 |