Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336z |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-4.7915312823846E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2458008,1521028080] |
[a1,a2,a3,a4,a6] |
Generators |
[978:7182:1] |
Generators of the group modulo torsion |
j |
-400971787828526265625/11698074419884308 |
j-invariant |
L |
5.6706460571369 |
L(r)(E,1)/r! |
Ω |
0.20044985576298 |
Real period |
R |
2.8289599089851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6042e2 |
Quadratic twists by: -4 |