Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520r |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6073320672645120 = -1 · 212 · 316 · 5 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241788,-45914848] |
[a1,a2,a3,a4,a6] |
j |
-523528663548736/2033942805 |
j-invariant |
L |
3.4439738257403 |
L(r)(E,1)/r! |
Ω |
0.10762418744949 |
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 |
119520e2 39840c2 |
Quadratic twists by: -4 -3 |