Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280c |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
130238160 = 24 · 3 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151,-410] |
[a1,a2,a3,a4,a6] |
j |
23955625984/8139885 |
j-invariant |
L |
2.7973145560069 |
L(r)(E,1)/r! |
Ω |
1.3986572758924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640t1 |
Quadratic twists by: -4 |