Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896g |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
6906384 = 24 · 34 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -3 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1192,15449] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-3:1] [-1:129:1] |
Generators of the group modulo torsion |
j |
2198624512/81 |
j-invariant |
L |
10.034842534275 |
L(r)(E,1)/r! |
Ω |
2.2132948065637 |
Real period |
R |
0.56673666478592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896f1 |
Quadratic twists by: 73 |