Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310l |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-40751100 = -1 · 22 · 36 · 52 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,75,161] |
[a1,a2,a3,a4,a6] |
Generators |
[7:28:1] |
Generators of the group modulo torsion |
j |
63521199/55900 |
j-invariant |
L |
4.0760781403658 |
L(r)(E,1)/r! |
Ω |
1.3272337407926 |
Real period |
R |
1.5355539928966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5590f1 |
Quadratic twists by: -3 |