Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275f |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2935296 |
Modular degree for the optimal curve |
Δ |
-1.8919535765381E+19 |
Discriminant |
Eigenvalues |
-1 -3 5+ -2 5 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,305520,198846522] |
[a1,a2,a3,a4,a6] |
Generators |
[-578:106535:8] |
Generators of the group modulo torsion |
j |
247444119/1484375 |
j-invariant |
L |
2.3835740725139 |
L(r)(E,1)/r! |
Ω |
0.15727979094859 |
Real period |
R |
3.7887481572233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16055e1 80275j1 |
Quadratic twists by: 5 13 |