Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120bw |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
208732160 = 216 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-319] |
[a1,a2,a3,a4,a6] |
j |
7086244/3185 |
j-invariant |
L |
2.7942480855938 |
L(r)(E,1)/r! |
Ω |
1.3971240427961 |
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 |
29120e1 7280i1 |
Quadratic twists by: -4 8 |