Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gb |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
21073920 = 212 · 3 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121,-505] |
[a1,a2,a3,a4,a6] |
j |
140608/15 |
j-invariant |
L |
2.8968349938976 |
L(r)(E,1)/r! |
Ω |
1.4484174970473 |
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 |
47040ei1 23520h1 47040ff1 |
Quadratic twists by: -4 8 -7 |