Atkin-Lehner |
2- 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bk |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1572124308480 = 210 · 36 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-245882,46990009] |
[a1,a2,a3,a4,a6] |
Generators |
[289:-73:1] |
Generators of the group modulo torsion |
j |
2255146390718456409/2156549120 |
j-invariant |
L |
9.409661696012 |
L(r)(E,1)/r! |
Ω |
0.70865071131137 |
Real period |
R |
0.66391393853243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490c2 |
Quadratic twists by: -3 |