Atkin-Lehner |
2+ 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202i |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-17608922212233924 = -1 · 22 · 314 · 11 · 13 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11+ 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68688,9439092] |
[a1,a2,a3,a4,a6] |
j |
-49163450253034753/24154900153956 |
j-invariant |
L |
1.4501105579013 |
L(r)(E,1)/r! |
Ω |
0.36252764004776 |
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 |
19734y1 |
Quadratic twists by: -3 |