Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bk |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-8251050334464 = -1 · 28 · 37 · 72 · 673 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6951,-262402] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3618:1] |
Generators of the group modulo torsion |
j |
-4061645392/902289 |
j-invariant |
L |
8.0634020653957 |
L(r)(E,1)/r! |
Ω |
0.25837168993937 |
Real period |
R |
0.86690376649382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39396g2 118188p2 |
Quadratic twists by: -3 -7 |