Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290s |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
-3.2744323858563E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15355845,24747169621] |
[a1,a2,a3,a4,a6] |
Generators |
[1252933:139763971:1331] |
Generators of the group modulo torsion |
j |
-549309814955296677994321/44916767981568000000 |
j-invariant |
L |
4.2982211284736 |
L(r)(E,1)/r! |
Ω |
0.11440634745492 |
Real period |
R |
9.392444615295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430x1 |
Quadratic twists by: -3 |