Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49010g |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
3.7229341789988E+21 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 -6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-161633462,790869916244] |
[a1,a2,a3,a4,a6] |
j |
96751437829777336381489/771303397130240 |
j-invariant |
L |
0.50264754614755 |
L(r)(E,1)/r! |
Ω |
0.12566188648995 |
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 |
3770e1 |
Quadratic twists by: 13 |