Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450ff |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.2892079000543E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ -6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5459180,-7343441553] |
[a1,a2,a3,a4,a6] |
Generators |
[3963:180365:1] |
Generators of the group modulo torsion |
j |
-1071875/768 |
j-invariant |
L |
6.738655749129 |
L(r)(E,1)/r! |
Ω |
0.047876471122296 |
Real period |
R |
4.3984652004927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150d1 54450cu1 54450bm1 |
Quadratic twists by: -3 5 -11 |