Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288p |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-166001375232 = -1 · 211 · 32 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,784,17952] |
[a1,a2,a3,a4,a6] |
Generators |
[50696:531135:512] |
Generators of the group modulo torsion |
j |
25988899102/81055359 |
j-invariant |
L |
10.366181881114 |
L(r)(E,1)/r! |
Ω |
0.7199168571937 |
Real period |
R |
7.1995687957202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576j2 |
Quadratic twists by: -4 |