Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160gq |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-646537564569600 = -1 · 214 · 34 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21135,-320175] |
[a1,a2,a3,a4,a6] |
j |
35969456/22275 |
j-invariant |
L |
2.3649185695762 |
L(r)(E,1)/r! |
Ω |
0.29561480315227 |
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 |
116160el2 29040y2 10560bu2 |
Quadratic twists by: -4 8 -11 |