Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ee |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
149475459375000 = 23 · 33 · 58 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-386255,-92298753] |
[a1,a2,a3,a4,a6] |
Generators |
[1449:48150:1] |
Generators of the group modulo torsion |
j |
8527173507/200 |
j-invariant |
L |
10.625080010796 |
L(r)(E,1)/r! |
Ω |
0.19150570891645 |
Real period |
R |
4.6234827109968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450l4 10890c2 450f2 |
Quadratic twists by: -3 5 -11 |