Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ep |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-717336000000000000 = -1 · 215 · 37 · 512 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140268,-45490192] |
[a1,a2,a3,a4,a6] |
Generators |
[3713289624:-80610062500:5000211] |
Generators of the group modulo torsion |
j |
-12776799006152/30029296875 |
j-invariant |
L |
5.3788669071498 |
L(r)(E,1)/r! |
Ω |
0.11517777935385 |
Real period |
R |
11.675140161579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080eo3 59040bv2 39360cf3 |
Quadratic twists by: -4 8 -3 |