Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400p |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
75451500000000000 = 211 · 38 · 512 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192675,-29749250] |
[a1,a2,a3,a4,a6] |
Generators |
[4978:76437:8] |
Generators of the group modulo torsion |
j |
33909572018/3234375 |
j-invariant |
L |
5.9682423091934 |
L(r)(E,1)/r! |
Ω |
0.22926829590903 |
Real period |
R |
6.5079237030248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800bb2 13800x2 8280w2 |
Quadratic twists by: -4 -3 5 |