Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600q |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
36352000000 = 215 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 2 -7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9100,-334000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1482:296:27] |
Generators of the group modulo torsion |
j |
162771336/71 |
j-invariant |
L |
13.567499910191 |
L(r)(E,1)/r! |
Ω |
0.48882181130685 |
Real period |
R |
3.4694390593184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600bm1 56800p1 4544d1 |
Quadratic twists by: -4 8 5 |