Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
468c |
Isogeny class |
Conductor |
468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
151632 = 24 · 36 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
1.7484928207284 |
L(r)(E,1)/r! |
Ω |
3.2358344501513 |
Real period |
R |
0.18011766337909 |
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 |
1872o1 7488bb1 52a2 11700o1 |
Quadratic twists by: -4 8 -3 5 |