Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038q |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
236880 |
Modular degree for the optimal curve |
Δ |
-777570747823296 = -1 · 26 · 36 · 710 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21159,-635027] |
[a1,a2,a3,a4,a6] |
Generators |
[186:3023:1] |
Generators of the group modulo torsion |
j |
5087327/3776 |
j-invariant |
L |
2.5917344933099 |
L(r)(E,1)/r! |
Ω |
0.28246104474194 |
Real period |
R |
4.5877733259426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782i1 52038d1 |
Quadratic twists by: -3 -7 |