Atkin-Lehner |
5+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52325d |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-8.7842778159757E+20 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -3 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-370741483,-2747485524632] |
[a1,a2,a3,a4,a6] |
j |
-360675992659311050823073792/56219378022244619 |
j-invariant |
L |
0.30965226592727 |
L(r)(E,1)/r! |
Ω |
0.017202903737119 |
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 |
2093f3 |
Quadratic twists by: 5 |