Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815k |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3.5797805116552E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-948933,209027431] |
[a1,a2,a3,a4,a6] |
Generators |
[65:12117:1] |
Generators of the group modulo torsion |
j |
1834216913521/694828125 |
j-invariant |
L |
10.502984942136 |
L(r)(E,1)/r! |
Ω |
0.18806891110889 |
Real period |
R |
3.1025817080068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
915d2 |
Quadratic twists by: 61 |