Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280be |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2440919010336768000 = -1 · 216 · 32 · 53 · 136 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,145184,-72137984] |
[a1,a2,a3,a4,a6] |
Generators |
[330:3406:1] |
Generators of the group modulo torsion |
j |
82626060291589151/595927492758000 |
j-invariant |
L |
5.6646949181843 |
L(r)(E,1)/r! |
Ω |
0.12830686627541 |
Real period |
R |
3.6791320960084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410u3 |
Quadratic twists by: -4 |