Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127072h |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
5871742976 = 212 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ -2 -1 -3 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,1551] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:76:1] [-7:68:1] |
Generators of the group modulo torsion |
j |
23104/11 |
j-invariant |
L |
6.9184553004435 |
L(r)(E,1)/r! |
Ω |
1.2013986704479 |
Real period |
R |
0.47988894593112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127072c1 127072z1 |
Quadratic twists by: -4 -19 |