Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038b |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22794240 |
Modular degree for the optimal curve |
Δ |
-2.4536137461262E+24 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -2 6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-755157825,7987930898877] |
[a1,a2,a3,a4,a6] |
j |
-11332482180988990520401/583840674349056 |
j-invariant |
L |
1.8460651671645 |
L(r)(E,1)/r! |
Ω |
0.076919381946554 |
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 |
17346x1 52038s1 |
Quadratic twists by: -3 -7 |