Atkin-Lehner |
2- 3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bj |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18284544 |
Modular degree for the optimal curve |
Δ |
7.4139870643616E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33979838,-64016200969] |
[a1,a2,a3,a4,a6] |
Generators |
[-321768129834:-10875315253595:101194696] |
Generators of the group modulo torsion |
j |
277694705097334231820569/47449517211914062500 |
j-invariant |
L |
8.6642933146904 |
L(r)(E,1)/r! |
Ω |
0.063259508171262 |
Real period |
R |
17.120535674776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20910g1 |
Quadratic twists by: 5 |