Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450v |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
98826750000000 = 27 · 33 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 7 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36867,2691541] |
[a1,a2,a3,a4,a6] |
Generators |
[69:653:1] |
Generators of the group modulo torsion |
j |
7177599/128 |
j-invariant |
L |
5.5159470598591 |
L(r)(E,1)/r! |
Ω |
0.59950536870377 |
Real period |
R |
0.76673584421046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450eo1 54450eq1 54450ep1 |
Quadratic twists by: -3 5 -11 |