Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bb |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31788146504233728 = 28 · 38 · 710 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135975,17287886] |
[a1,a2,a3,a4,a6] |
Generators |
[142:918:1] |
Generators of the group modulo torsion |
j |
12663250000/1447803 |
j-invariant |
L |
6.4199223845393 |
L(r)(E,1)/r! |
Ω |
0.35814995756359 |
Real period |
R |
4.4813089034637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39396d2 16884i2 |
Quadratic twists by: -3 -7 |