Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832be |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2449027768606E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4648967137,122008009999105] |
[a1,a2,a3,a4,a6] |
Generators |
[111212800622834120:1943055088243976421:2682721892375] |
Generators of the group modulo torsion |
j |
169556018616790717975462247908/189957088754367561 |
j-invariant |
L |
6.5669922075129 |
L(r)(E,1)/r! |
Ω |
0.080073361989943 |
Real period |
R |
20.503048948054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128832m4 32208e4 |
Quadratic twists by: -4 8 |