Atkin-Lehner |
2+ 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010i |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2867200 |
Modular degree for the optimal curve |
Δ |
5846489069322240 = 216 · 313 · 5 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22945815,42311871261] |
[a1,a2,a3,a4,a6] |
j |
1832764473200747902512241/8019875266560 |
j-invariant |
L |
0.57428472604138 |
L(r)(E,1)/r! |
Ω |
0.28714236379065 |
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 |
17670y1 |
Quadratic twists by: -3 |