Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086x |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
243728965987439688 = 23 · 36 · 72 · 318 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-408125,97605181] |
[a1,a2,a3,a4,a6] |
j |
11619959625/376712 |
j-invariant |
L |
3.7274630503664 |
L(r)(E,1)/r! |
Ω |
0.31062191633149 |
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 |
13454a2 3906n2 |
Quadratic twists by: -3 -31 |