Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812o |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1175326910294784 = -1 · 28 · 3 · 137 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2128949,-1196338857] |
[a1,a2,a3,a4,a6] |
Generators |
[454993182:7739226053:250047] |
Generators of the group modulo torsion |
j |
-863613873553408/951171 |
j-invariant |
L |
9.7241310962129 |
L(r)(E,1)/r! |
Ω |
0.062492543165252 |
Real period |
R |
12.967055219146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4524f2 |
Quadratic twists by: 13 |