Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127072t |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
963072 |
Modular degree for the optimal curve |
Δ |
276241321311481856 = 212 · 11 · 1910 |
Discriminant |
Eigenvalues |
2- -2 -1 3 11+ 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173761,11680623] |
[a1,a2,a3,a4,a6] |
Generators |
[-998:44851:8] |
Generators of the group modulo torsion |
j |
23104/11 |
j-invariant |
L |
4.1918998496821 |
L(r)(E,1)/r! |
Ω |
0.27561975765192 |
Real period |
R |
7.6044980513189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127072z1 127072c1 |
Quadratic twists by: -4 -19 |