Atkin-Lehner |
2- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
8888b |
Isogeny class |
Conductor |
8888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8256 |
Modular degree for the optimal curve |
Δ |
3128576 = 28 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 2 -1 4 11- -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14521,-668691] |
[a1,a2,a3,a4,a6] |
Generators |
[-23751:6:343] |
Generators of the group modulo torsion |
j |
1322827548642304/12221 |
j-invariant |
L |
6.2175624930906 |
L(r)(E,1)/r! |
Ω |
0.43490853555872 |
Real period |
R |
3.5740632712019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17776a1 71104e1 79992f1 97768b1 |
Quadratic twists by: -4 8 -3 -11 |