Atkin-Lehner |
2+ 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53872a |
Isogeny class |
Conductor |
53872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53312 |
Modular degree for the optimal curve |
Δ |
-811262326784 = -1 · 211 · 77 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1728,32800] |
[a1,a2,a3,a4,a6] |
j |
278466926974/396124183 |
j-invariant |
L |
1.2096157665445 |
L(r)(E,1)/r! |
Ω |
0.6048078838717 |
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 |
26936b1 |
Quadratic twists by: -4 |