Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cn |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107331840 |
Modular degree for the optimal curve |
Δ |
-1.133868680513E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2536334883,14403426209541] |
[a1,a2,a3,a4,a6] |
Generators |
[119227659216040911462:105742717843169466225357:19188347830455959] |
Generators of the group modulo torsion |
j |
1182427286584775/743008370688 |
j-invariant |
L |
5.6926659529696 |
L(r)(E,1)/r! |
Ω |
0.017049222149516 |
Real period |
R |
27.824661163653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150da1 54450hj1 54450gj1 |
Quadratic twists by: -3 5 -11 |