Atkin-Lehner |
5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122815m |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-138456349955 = -1 · 5 · 72 · 117 · 29 |
Discriminant |
Eigenvalues |
0 3 5- 7+ 11- -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,968,-13643] |
[a1,a2,a3,a4,a6] |
j |
56623104/78155 |
j-invariant |
L |
4.4066590207615 |
L(r)(E,1)/r! |
Ω |
0.55083250775057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165g1 |
Quadratic twists by: -11 |