Atkin-Lehner |
2- 3+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bl |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3916800 |
Modular degree for the optimal curve |
Δ |
1237604352000000000 = 220 · 3 · 59 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8692638,-9867986469] |
[a1,a2,a3,a4,a6] |
Generators |
[-46005:32989:27] |
Generators of the group modulo torsion |
j |
37191907957536186317/633653428224 |
j-invariant |
L |
9.2726364610844 |
L(r)(E,1)/r! |
Ω |
0.087924943894813 |
Real period |
R |
2.6365204385955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550bd1 |
Quadratic twists by: 5 |