Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190y |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
194304 |
Modular degree for the optimal curve |
Δ |
2996246393360 = 24 · 5 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14647,680831] |
[a1,a2,a3,a4,a6] |
j |
2347334289/20240 |
j-invariant |
L |
7.2485909455435 |
L(r)(E,1)/r! |
Ω |
0.80539899363962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2530j1 |
Quadratic twists by: -23 |