Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592bb |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-5013467136 = -1 · 212 · 36 · 23 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,416,-844] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] [11:72:1] |
Generators of the group modulo torsion |
j |
1939096223/1223991 |
j-invariant |
L |
10.971598208868 |
L(r)(E,1)/r! |
Ω |
0.78466122893294 |
Real period |
R |
2.3304320821049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037d1 |
Quadratic twists by: -4 |