Atkin-Lehner |
2+ 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
13542f |
Isogeny class |
Conductor |
13542 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
121878246240361152 = 26 · 33 · 372 · 616 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-184181,25351616] |
[a1,a2,a3,a4,a6] |
j |
690963016200101079625/121878246240361152 |
j-invariant |
L |
2.522406493352 |
L(r)(E,1)/r! |
Ω |
0.315300811669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
108336r2 40626s2 |
Quadratic twists by: -4 -3 |