Atkin-Lehner |
2- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648t |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1072689634549170176 = 218 · 72 · 113 · 894 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7250552,-7516832300] |
[a1,a2,a3,a4,a6] |
j |
10291461147845646790393/261887117809856 |
j-invariant |
L |
1.4720661781465 |
L(r)(E,1)/r! |
Ω |
0.092004155831614 |
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 |
13706c2 |
Quadratic twists by: -4 |