Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dv |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-6507691875000000 = -1 · 26 · 39 · 510 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,46667,104213] |
[a1,a2,a3,a4,a6] |
Generators |
[92:2277:1] |
Generators of the group modulo torsion |
j |
17983078400/10412307 |
j-invariant |
L |
10.559625545419 |
L(r)(E,1)/r! |
Ω |
0.25304429261618 |
Real period |
R |
2.3183524789011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fq1 1725c1 110400bw1 |
Quadratic twists by: -4 8 5 |