Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6776a |
Isogeny class |
Conductor |
6776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47911626312704 = 210 · 74 · 117 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30371,-2009810] |
[a1,a2,a3,a4,a6] |
j |
1707831108/26411 |
j-invariant |
L |
0.72397197305881 |
L(r)(E,1)/r! |
Ω |
0.3619859865294 |
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 |
13552e3 54208h4 60984bx4 47432f4 |
Quadratic twists by: -4 8 -3 -7 |