Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57096t |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1002923719340055552 = -1 · 210 · 39 · 138 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,230541,22501438] |
[a1,a2,a3,a4,a6] |
Generators |
[7698:269555:8] |
Generators of the group modulo torsion |
j |
1815267971589692/1343508497487 |
j-invariant |
L |
6.6359541826774 |
L(r)(E,1)/r! |
Ω |
0.17712732053986 |
Real period |
R |
4.6830396931116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192s3 19032j4 |
Quadratic twists by: -4 -3 |