Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328f |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
222682576896 = 211 · 34 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2512,-43660] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:60:1] |
Generators of the group modulo torsion |
j |
856299206306/108731727 |
j-invariant |
L |
8.758174713401 |
L(r)(E,1)/r! |
Ω |
0.67997441110553 |
Real period |
R |
1.6100191732145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14664e3 117312ck4 87984h4 |
Quadratic twists by: -4 8 -3 |