Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18216g |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-218531239762082544 = -1 · 24 · 313 · 113 · 235 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,134169,12167543] |
[a1,a2,a3,a4,a6] |
Generators |
[517:14823:1] |
Generators of the group modulo torsion |
j |
22899855913233152/18735531529671 |
j-invariant |
L |
5.3493774556506 |
L(r)(E,1)/r! |
Ω |
0.20359847526051 |
Real period |
R |
3.2842691041804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432p1 6072f1 |
Quadratic twists by: -4 -3 |