Atkin-Lehner |
2- 3+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54384o |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
532719587524608 = 215 · 315 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81608,-8877072] |
[a1,a2,a3,a4,a6] |
Generators |
[484:8048:1] |
Generators of the group modulo torsion |
j |
14674634379015625/130058493048 |
j-invariant |
L |
5.1642605109004 |
L(r)(E,1)/r! |
Ω |
0.28261693257103 |
Real period |
R |
4.5682511518074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798g1 |
Quadratic twists by: -4 |