Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220u |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-7739550000 = -1 · 24 · 35 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541,-6616] |
[a1,a2,a3,a4,a6] |
j |
-22377005056/9871875 |
j-invariant |
L |
2.4225775863945 |
L(r)(E,1)/r! |
Ω |
0.48451551728719 |
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 |
114660bq1 38220i1 |
Quadratic twists by: -3 -7 |