Atkin-Lehner |
2- 5+ 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121900b |
Isogeny class |
Conductor |
121900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-8544275750000 = -1 · 24 · 56 · 233 · 532 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -4 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,142,-140587] |
[a1,a2,a3,a4,a6] |
j |
1257728/34177103 |
j-invariant |
L |
1.3543630420314 |
L(r)(E,1)/r! |
Ω |
0.33859063262797 |
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 |
4876c1 |
Quadratic twists by: 5 |