Atkin-Lehner |
2- 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570u |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
2924544 |
Modular degree for the optimal curve |
Δ |
-1.5984597750009E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11+ 5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1259978,-815987703] |
[a1,a2,a3,a4,a6] |
j |
-303448326736684074841/219267458847866880 |
j-invariant |
L |
4.6960870177103 |
L(r)(E,1)/r! |
Ω |
0.069060103200143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190g1 |
Quadratic twists by: -3 |