Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104w |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-4.5883156404904E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 1 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,315455,-318580321] |
[a1,a2,a3,a4,a6] |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
2.1775811442795 |
L(r)(E,1)/r! |
Ω |
0.098980961185758 |
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 |
55104cc1 1722i1 |
Quadratic twists by: -4 8 |