Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bn |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
784 |
Product of Tamagawa factors cp |
Δ |
1.2042149400671E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5134782242,-141611016746591] |
[a1,a2,a3,a4,a6] |
j |
5138442430700033888523/413281250000000 |
j-invariant |
L |
3.4956441371196 |
L(r)(E,1)/r! |
Ω |
0.017834919069055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610e2 2070j2 |
Quadratic twists by: -3 -23 |