Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304j |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
469038066873552 = 24 · 314 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149286,22176749] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:5103:1] [169:1332:1] |
Generators of the group modulo torsion |
j |
31545211678394368/40212454293 |
j-invariant |
L |
7.4321555063155 |
L(r)(E,1)/r! |
Ω |
0.52466949742041 |
Real period |
R |
1.1804503506267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608o1 9768e1 |
Quadratic twists by: -4 -3 |