Atkin-Lehner |
3+ 5+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945b |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48922001142261975 = 39 · 52 · 72 · 133 · 314 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-335288,-73881044] |
[a1,a2,a3,a4,a6] |
Generators |
[-307:370:1] |
Generators of the group modulo torsion |
j |
211780142442632763/2485495155325 |
j-invariant |
L |
3.0142955730642 |
L(r)(E,1)/r! |
Ω |
0.19854240078804 |
Real period |
R |
1.8977656127674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945d2 |
Quadratic twists by: -3 |