Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672z |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
322978185216 = 224 · 33 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 3 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173691,-27862102] |
[a1,a2,a3,a4,a6] |
Generators |
[-199759682:1706913:830584] |
Generators of the group modulo torsion |
j |
5240007959578371/2920448 |
j-invariant |
L |
10.456667566779 |
L(r)(E,1)/r! |
Ω |
0.23385962035167 |
Real period |
R |
11.178359409924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12834g1 102672w2 |
Quadratic twists by: -4 -3 |