Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bm |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-272217088000 = -1 · 213 · 53 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1544,-9744] |
[a1,a2,a3,a4,a6] |
Generators |
[84:840:1] |
Generators of the group modulo torsion |
j |
820803071/549250 |
j-invariant |
L |
6.9091893424446 |
L(r)(E,1)/r! |
Ω |
0.55635086456038 |
Real period |
R |
3.1046906611046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730e2 125840bx2 |
Quadratic twists by: -4 -11 |