Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59800j |
Isogeny class |
Conductor |
59800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12107041024000 = -1 · 211 · 53 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11248,492492] |
[a1,a2,a3,a4,a6] |
Generators |
[13188:167895:64] |
Generators of the group modulo torsion |
j |
-614820415498/47293129 |
j-invariant |
L |
8.4728432751761 |
L(r)(E,1)/r! |
Ω |
0.69985132134574 |
Real period |
R |
6.0533166237118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119600k2 59800f2 |
Quadratic twists by: -4 5 |