Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144u |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
23896280422387152 = 24 · 314 · 135 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1120926,456726229] |
[a1,a2,a3,a4,a6] |
Generators |
[374:9477:1] |
Generators of the group modulo torsion |
j |
13353866478112073728/2048720886693 |
j-invariant |
L |
3.6316012990004 |
L(r)(E,1)/r! |
Ω |
0.36639709779909 |
Real period |
R |
0.49558270532368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54288r1 9048j1 |
Quadratic twists by: -4 -3 |