Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120bx |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
5218304000 = 216 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2241,41441] |
[a1,a2,a3,a4,a6] |
j |
19000416964/79625 |
j-invariant |
L |
2.7348673438799 |
L(r)(E,1)/r! |
Ω |
1.3674336719403 |
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 |
29120f1 7280j1 |
Quadratic twists by: -4 8 |