Atkin-Lehner |
3- 5+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126945l |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.3099264041687E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2728440,1713136945] |
[a1,a2,a3,a4,a6] |
j |
3081339114056717754241/45403654378171635 |
j-invariant |
L |
1.6637855802614 |
L(r)(E,1)/r! |
Ω |
0.2079732441283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42315c6 |
Quadratic twists by: -3 |