Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hp |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-119232000000 = -1 · 212 · 34 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-16537] |
[a1,a2,a3,a4,a6] |
Generators |
[47:312:1] |
Generators of the group modulo torsion |
j |
8000/1863 |
j-invariant |
L |
9.1237253984763 |
L(r)(E,1)/r! |
Ω |
0.49342268277321 |
Real period |
R |
2.3113361293548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400gh1 55200bm1 4416t1 |
Quadratic twists by: -4 8 5 |