Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cv |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-28412295318000 = -1 · 24 · 36 · 53 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6012,314496] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-546:1] [-32:704:1] |
Generators of the group modulo torsion |
j |
-148877/176 |
j-invariant |
L |
7.3379380798167 |
L(r)(E,1)/r! |
Ω |
0.60170747236792 |
Real period |
R |
1.5243989847221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6050bl1 54450gp1 4950bn1 |
Quadratic twists by: -3 5 -11 |