Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488im |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-238436352 = -1 · 214 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,-1233] |
[a1,a2,a3,a4,a6] |
Generators |
[27:120:1] |
Generators of the group modulo torsion |
j |
-768208/297 |
j-invariant |
L |
11.165060719578 |
L(r)(E,1)/r! |
Ω |
0.64183816371582 |
Real period |
R |
1.4496204477444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488q1 25872bn1 103488fa1 |
Quadratic twists by: -4 8 -7 |