Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010x |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
10714052113920 = 29 · 39 · 5 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 -3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9864,-340160] |
[a1,a2,a3,a4,a6] |
j |
145606291302529/14696916480 |
j-invariant |
L |
2.8930232509184 |
L(r)(E,1)/r! |
Ω |
0.48217054187462 |
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 |
17670m1 |
Quadratic twists by: -3 |