Atkin-Lehner |
2- 3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272l |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5128704 |
Modular degree for the optimal curve |
Δ |
1.1255004745462E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 1 3 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12026256,16048433088] |
[a1,a2,a3,a4,a6] |
j |
46962924452705609230609/27478038929349528 |
j-invariant |
L |
2.962824136959 |
L(r)(E,1)/r! |
Ω |
0.18517650956057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034h1 |
Quadratic twists by: -4 |