Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328q |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
878432256 = 212 · 33 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-549,4563] |
[a1,a2,a3,a4,a6] |
Generators |
[6:39:1] |
Generators of the group modulo torsion |
j |
4475809792/214461 |
j-invariant |
L |
8.0613806044817 |
L(r)(E,1)/r! |
Ω |
1.5598796589643 |
Real period |
R |
0.86132505565998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833b1 117312cg1 87984bi1 |
Quadratic twists by: -4 8 -3 |