Atkin-Lehner |
2+ 3+ 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550k |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4548921152400000000 = 210 · 34 · 58 · 174 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3468875,-2486071875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1099:1148:1] |
Generators of the group modulo torsion |
j |
295440366259272377521/291130953753600 |
j-invariant |
L |
4.3480727242912 |
L(r)(E,1)/r! |
Ω |
0.11063131367334 |
Real period |
R |
4.9127961306645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014566 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20910p2 |
Quadratic twists by: 5 |