Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450cs |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-12128737500000 = -1 · 25 · 36 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3867,-190459] |
[a1,a2,a3,a4,a6] |
Generators |
[1190:12077:8] |
Generators of the group modulo torsion |
j |
-16875/32 |
j-invariant |
L |
4.9486187860713 |
L(r)(E,1)/r! |
Ω |
0.28499415582252 |
Real period |
R |
4.3409826876951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bh1 54450fc1 54450gn1 |
Quadratic twists by: -3 5 -11 |