Atkin-Lehner |
3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53655r |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-53655 = -1 · 3 · 5 · 72 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -3 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2,11] |
[a1,a2,a3,a4,a6] |
j |
34391/1095 |
j-invariant |
L |
2.6714281165949 |
L(r)(E,1)/r! |
Ω |
2.6714281173025 |
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 |
53655c1 |
Quadratic twists by: -7 |