Atkin-Lehner |
3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265bc |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3027685219824375 = 36 · 54 · 118 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38723,1259003] |
[a1,a2,a3,a4,a6] |
Generators |
[219:1705:1] |
Generators of the group modulo torsion |
j |
3624586490881/1709049375 |
j-invariant |
L |
10.763420199426 |
L(r)(E,1)/r! |
Ω |
0.40197226532294 |
Real period |
R |
1.1156885196414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115k2 |
Quadratic twists by: -11 |