Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120l |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-32834101782643200 = -1 · 29 · 312 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4000,8716200] |
[a1,a2,a3,a4,a6] |
j |
2863288/13286025 |
j-invariant |
L |
2.3230337804664 |
L(r)(E,1)/r! |
Ω |
0.29037922193501 |
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 |
81120cb2 480e4 |
Quadratic twists by: -4 13 |