Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ds |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-11098552858593750 = -1 · 2 · 36 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,53883,1572291] |
[a1,a2,a3,a4,a6] |
j |
34295/22 |
j-invariant |
L |
2.0147010341691 |
L(r)(E,1)/r! |
Ω |
0.25183762927441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bn1 54450gh1 4950bu1 |
Quadratic twists by: -3 5 -11 |