Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gr |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-3636773800704000 = -1 · 211 · 36 · 53 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 0 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15995,3008107] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2330:1] |
Generators of the group modulo torsion |
j |
-2803221/22528 |
j-invariant |
L |
10.407132303937 |
L(r)(E,1)/r! |
Ω |
0.38009865574544 |
Real period |
R |
0.31113729370627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050t1 54450cy1 4950u1 |
Quadratic twists by: -3 5 -11 |