Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19140d |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-966726041529600 = -1 · 28 · 316 · 52 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7780,1469832] |
[a1,a2,a3,a4,a6] |
j |
203407384115504/3776273599725 |
j-invariant |
L |
2.9551591908952 |
L(r)(E,1)/r! |
Ω |
0.36939489886189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560cd2 57420g2 95700v2 |
Quadratic twists by: -4 -3 5 |