Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328f |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-389749880832 = -1 · 211 · 3 · 13 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,928,28308] |
[a1,a2,a3,a4,a6] |
Generators |
[3108:34930:27] |
Generators of the group modulo torsion |
j |
43109165374/190307559 |
j-invariant |
L |
8.758174713401 |
L(r)(E,1)/r! |
Ω |
0.67997441110553 |
Real period |
R |
6.440076692858 |
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 |
14664e4 117312ck3 87984h3 |
Quadratic twists by: -4 8 -3 |