Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126p |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12096000 |
Modular degree for the optimal curve |
Δ |
3.1476407416482E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64993119,-201476689219] |
[a1,a2,a3,a4,a6] |
Generators |
[-4579:12393:1] |
Generators of the group modulo torsion |
j |
5460773465406483/5661264752 |
j-invariant |
L |
4.8980319270398 |
L(r)(E,1)/r! |
Ω |
0.05317527464888 |
Real period |
R |
4.6055539615126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dn1 126126c1 |
Quadratic twists by: -3 -7 |