Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bd |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
74883433140140625 = 314 · 56 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-376605,-87882624] |
[a1,a2,a3,a4,a6] |
Generators |
[-10626180:-24062694:29791] |
Generators of the group modulo torsion |
j |
8103172371767862481/102720758765625 |
j-invariant |
L |
7.0286557128981 |
L(r)(E,1)/r! |
Ω |
0.19286835936717 |
Real period |
R |
9.110690493719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015x2 |
Quadratic twists by: -3 |