Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23700p |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
1727730000 = 24 · 37 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,18188] |
[a1,a2,a3,a4,a6] |
Generators |
[23:15:1] [-13:183:1] |
Generators of the group modulo torsion |
j |
26214400000/172773 |
j-invariant |
L |
8.1477016813079 |
L(r)(E,1)/r! |
Ω |
1.5000744493474 |
Real period |
R |
0.086214786320949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800cg1 71100x1 23700b1 |
Quadratic twists by: -4 -3 5 |