Atkin-Lehner |
2- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cf |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1052460284292316900 = 22 · 52 · 74 · 1110 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6217608,5968721927] |
[a1,a2,a3,a4,a6] |
Generators |
[1657:13787:1] |
Generators of the group modulo torsion |
j |
15005053520986088169/594086392900 |
j-invariant |
L |
9.7743961991112 |
L(r)(E,1)/r! |
Ω |
0.25935920662026 |
Real period |
R |
4.7108392179867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022886 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010a2 |
Quadratic twists by: -11 |