Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520q |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.253504716655E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1607681,-569931775] |
[a1,a2,a3,a4,a6] |
Generators |
[6913:564480:1] |
Generators of the group modulo torsion |
j |
1753007192038126081/478174101507200 |
j-invariant |
L |
9.4468188804058 |
L(r)(E,1)/r! |
Ω |
0.13682131938793 |
Real period |
R |
1.7261233341984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bn2 1610g2 |
Quadratic twists by: -4 8 |