Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56628w |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
32503665843792 = 24 · 36 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6308940,6099338113] |
[a1,a2,a3,a4,a6] |
Generators |
[-45211650:176794673:15625] |
Generators of the group modulo torsion |
j |
11107182592000/13 |
j-invariant |
L |
4.6464729930103 |
L(r)(E,1)/r! |
Ω |
0.41653084318297 |
Real period |
R |
11.155171505411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6292h2 56628l2 |
Quadratic twists by: -3 -11 |