Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038t |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-3471297981354 = -1 · 2 · 36 · 79 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5595,-182953] |
[a1,a2,a3,a4,a6] |
j |
-658503/118 |
j-invariant |
L |
1.093354049037 |
L(r)(E,1)/r! |
Ω |
0.27333851220428 |
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 |
5782f1 52038h1 |
Quadratic twists by: -3 -7 |