Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gy |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
-5200725727065931776 = -1 · 231 · 313 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-721164,260006416] |
[a1,a2,a3,a4,a6] |
Generators |
[608:6804:1] |
Generators of the group modulo torsion |
j |
-217049294532673/27214258176 |
j-invariant |
L |
6.8925288316818 |
L(r)(E,1)/r! |
Ω |
0.23486578809026 |
Real period |
R |
1.8341669030106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999260756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992bn1 31248cl1 41664el1 |
Quadratic twists by: -4 8 -3 |