Atkin-Lehner |
3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305h |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-91047494815875 = -1 · 38 · 53 · 136 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ 5 2 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16956,960275] |
[a1,a2,a3,a4,a6] |
j |
-111701610496/18862875 |
j-invariant |
L |
9.2899461495728 |
L(r)(E,1)/r! |
Ω |
0.58062163422591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345f1 |
Quadratic twists by: 13 |