Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400cx |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1731891456000000 = 214 · 34 · 56 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-693608,222100788] |
[a1,a2,a3,a4,a6] |
Generators |
[238:8400:1] |
Generators of the group modulo torsion |
j |
576615941610337/27060804 |
j-invariant |
L |
6.706103697797 |
L(r)(E,1)/r! |
Ω |
0.44429859400645 |
Real period |
R |
1.8867108146024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2550b3 81600fh4 61200fh4 816h3 |
Quadratic twists by: -4 8 -3 5 |