Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824p |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1404118761472 = 226 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3 -2 7- -3 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26971,-1703926] |
[a1,a2,a3,a4,a6] |
Generators |
[-20874:413:216] |
Generators of the group modulo torsion |
j |
1544403549879/999424 |
j-invariant |
L |
9.0724900722145 |
L(r)(E,1)/r! |
Ω |
0.37255651457471 |
Real period |
R |
6.0879958591825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978k1 47824bb1 |
Quadratic twists by: -4 -7 |