Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720bb |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
35981262720000 = 210 · 35 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3240160,2243824400] |
[a1,a2,a3,a4,a6] |
Generators |
[1040:60:1] |
Generators of the group modulo torsion |
j |
3673865548311192178564/35137951875 |
j-invariant |
L |
7.251712662138 |
L(r)(E,1)/r! |
Ω |
0.45441180145606 |
Real period |
R |
0.39896150577098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440o2 |
Quadratic twists by: -4 |