Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104bn |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-495936 = -1 · 26 · 33 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 6 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,2] |
[a1,a2,a3,a4,a6] |
j |
13144256/7749 |
j-invariant |
L |
5.181073084907 |
L(r)(E,1)/r! |
Ω |
1.7270243618885 |
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 |
55104f1 27552t1 |
Quadratic twists by: -4 8 |