Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450ez |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3929710950 = -1 · 2 · 310 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13190,586347] |
[a1,a2,a3,a4,a6] |
Generators |
[574:303:8] |
Generators of the group modulo torsion |
j |
-10461203195/162 |
j-invariant |
L |
10.972849517998 |
L(r)(E,1)/r! |
Ω |
1.2750621730739 |
Real period |
R |
2.151434210369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150a1 54450ct1 54450bi1 |
Quadratic twists by: -3 5 -11 |