Atkin-Lehner |
3- 5+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055k |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-1.1101038766143E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,457006,-107462599] |
[a1,a2,a3,a4,a6] |
Generators |
[4041:258232:1] |
Generators of the group modulo torsion |
j |
10555791028714613648231/11101038766143276825 |
j-invariant |
L |
7.7944988043948 |
L(r)(E,1)/r! |
Ω |
0.12312476390034 |
Real period |
R |
0.52754746198617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165q2 |
Quadratic twists by: -3 |