Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
16104b |
Isogeny class |
Conductor |
16104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-2.0058098483767E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,596068,-122900940] |
[a1,a2,a3,a4,a6] |
Generators |
[832321170:-17243456088:3723875] |
Generators of the group modulo torsion |
j |
91489328511191062832/78351947202214719 |
j-invariant |
L |
4.7990695582472 |
L(r)(E,1)/r! |
Ω |
0.11927607218179 |
Real period |
R |
13.411657707096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32208d1 128832n1 48312n1 |
Quadratic twists by: -4 8 -3 |