Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bk |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
2.4597418664E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4837713,3326554031] |
[a1,a2,a3,a4,a6] |
j |
166021325905681/32614400000 |
j-invariant |
L |
7.6946325689328 |
L(r)(E,1)/r! |
Ω |
0.13740415305076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830d1 4550j1 |
Quadratic twists by: 5 13 |