Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640bs |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-988282880 = -1 · 219 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 4 13- 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,-1744] |
[a1,a2,a3,a4,a6] |
j |
-2146689/3770 |
j-invariant |
L |
11.201785148956 |
L(r)(E,1)/r! |
Ω |
0.62232140000833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640dh1 3770f1 |
Quadratic twists by: -4 8 |