Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104cc |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[-14361:5120:27] |
Generators of the group modulo torsion |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
3.1053804341079 |
L(r)(E,1)/r! |
Ω |
0.14941536294899 |
Real period |
R |
5.1958854379686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104w1 13776v1 |
Quadratic twists by: -4 8 |