Atkin-Lehner |
3- 5+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126945i |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90240 |
Modular degree for the optimal curve |
Δ |
-935711595 = -1 · 36 · 5 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 0 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,-3042] |
[a1,a2,a3,a4,a6] |
Generators |
[24:45:1] |
Generators of the group modulo torsion |
j |
-7256313856/1283555 |
j-invariant |
L |
2.8371518119531 |
L(r)(E,1)/r! |
Ω |
0.54166041847244 |
Real period |
R |
1.3094698177855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999767507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105d1 |
Quadratic twists by: -3 |