Atkin-Lehner |
2- 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658r |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1037922717708864 = 26 · 32 · 138 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64139,-6083719] |
[a1,a2,a3,a4,a6] |
j |
6045477024313/215032896 |
j-invariant |
L |
1.8039258372365 |
L(r)(E,1)/r! |
Ω |
0.30065430620102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3666a2 |
Quadratic twists by: 13 |