Atkin-Lehner |
2+ 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224b |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-12028354993152 = -1 · 210 · 312 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5424,-66672] |
[a1,a2,a3,a4,a6] |
Generators |
[62:710:1] |
Generators of the group modulo torsion |
j |
17230692282044/11746440423 |
j-invariant |
L |
6.5220643571392 |
L(r)(E,1)/r! |
Ω |
0.40452521667419 |
Real period |
R |
4.030690849609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17112g1 102672n1 |
Quadratic twists by: -4 -3 |