Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328f |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
469248 = 28 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-612,5628] |
[a1,a2,a3,a4,a6] |
Generators |
[11102:49440:343] |
Generators of the group modulo torsion |
j |
99185332048/1833 |
j-invariant |
L |
8.758174713401 |
L(r)(E,1)/r! |
Ω |
2.7198976444221 |
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 |
14664e1 117312ck1 87984h1 |
Quadratic twists by: -4 8 -3 |