Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450bk |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-1.718943866739E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5309442,5115325716] |
[a1,a2,a3,a4,a6] |
j |
-616295051/64000 |
j-invariant |
L |
1.1639119618327 |
L(r)(E,1)/r! |
Ω |
0.14548899540458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050w1 10890bm1 54450fd1 |
Quadratic twists by: -3 5 -11 |