Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520bk |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-6181463817200000000 = -1 · 210 · 58 · 74 · 235 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -2 1 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,408919,-64508881] |
[a1,a2,a3,a4,a6] |
j |
7384729019637956864/6036585758984375 |
j-invariant |
L |
0.52873830889056 |
L(r)(E,1)/r! |
Ω |
0.13218457731227 |
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 |
51520p1 12880v1 |
Quadratic twists by: -4 8 |