Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840z |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
511449195600 = 24 · 37 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2442,31201] |
[a1,a2,a3,a4,a6] |
j |
138074404864/43848525 |
j-invariant |
L |
3.4336145671235 |
L(r)(E,1)/r! |
Ω |
0.85840364176133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680ce1 14280bt1 |
Quadratic twists by: -4 -3 |