Atkin-Lehner |
3- 5- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945r |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
836742099375 = 37 · 54 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2889,41170] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:332:1] |
Generators of the group modulo torsion |
j |
3658671062929/1147794375 |
j-invariant |
L |
6.8987106096277 |
L(r)(E,1)/r! |
Ω |
0.82456244144055 |
Real period |
R |
1.045813859219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42315a2 |
Quadratic twists by: -3 |