Atkin-Lehner |
2- 3- 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150ci |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
-265220414019000 = -1 · 23 · 314 · 53 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13828,1001672] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-748:1] |
Generators of the group modulo torsion |
j |
-2339342304585749/2121763312152 |
j-invariant |
L |
14.716449137288 |
L(r)(E,1)/r! |
Ω |
0.50391165792061 |
Real period |
R |
0.69534340235757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117150k2 |
Quadratic twists by: 5 |