Atkin-Lehner |
2+ 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950c |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28248 |
Modular degree for the optimal curve |
Δ |
-55244800 = -1 · 211 · 52 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1532,-22704] |
[a1,a2,a3,a4,a6] |
j |
-15911805014145/2209792 |
j-invariant |
L |
0.38153814327413 |
L(r)(E,1)/r! |
Ω |
0.38153814315504 |
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 |
53950be1 |
Quadratic twists by: 5 |