Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bi |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5038080 |
Modular degree for the optimal curve |
Δ |
1.0832903923789E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2304226,1336743456] |
[a1,a2,a3,a4,a6] |
j |
11500340578110291601/92078164062500 |
j-invariant |
L |
1.8308748870384 |
L(r)(E,1)/r! |
Ω |
0.22885942306227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710j1 |
Quadratic twists by: -7 |