Atkin-Lehner |
2+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4522b |
Isogeny class |
Conductor |
4522 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
504504 |
Modular degree for the optimal curve |
Δ |
-1.42450035185E+24 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6839693,-57833033499] |
[a1,a2,a3,a4,a6] |
j |
-35386171200283737225381417/1424500351850019530211328 |
j-invariant |
L |
0.40982096483197 |
L(r)(E,1)/r! |
Ω |
0.037256451348361 |
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 |
36176v1 40698bk1 113050cj1 31654h1 |
Quadratic twists by: -4 -3 5 -7 |