Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ee |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-272419024710937500 = -1 · 22 · 39 · 59 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,158245,6558247] |
[a1,a2,a3,a4,a6] |
Generators |
[206906:11829175:2744] |
Generators of the group modulo torsion |
j |
804357/500 |
j-invariant |
L |
10.625080010796 |
L(r)(E,1)/r! |
Ω |
0.19150570891645 |
Real period |
R |
6.9352240664952 |
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 |
54450l1 10890c3 450f3 |
Quadratic twists by: -3 5 -11 |