Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550ci |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-105089208984375000 = -1 · 23 · 3 · 514 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,117412,-1853208] |
[a1,a2,a3,a4,a6] |
j |
11456208593737991/6725709375000 |
j-invariant |
L |
4.7270290722455 |
L(r)(E,1)/r! |
Ω |
0.1969595446769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400eh3 34650m3 2310c4 80850ev3 |
Quadratic twists by: -4 -3 5 -7 |