Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896q |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71608320 |
Modular degree for the optimal curve |
Δ |
7.2084729396853E+25 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-675484500,-6744685435164] |
[a1,a2,a3,a4,a6] |
Generators |
[-14962:110792:1] [84980:23442206:1] |
Generators of the group modulo torsion |
j |
879817812976081744/1860656251473 |
j-invariant |
L |
8.0633478161186 |
L(r)(E,1)/r! |
Ω |
0.029617669927146 |
Real period |
R |
68.061969746949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752d1 |
Quadratic twists by: 73 |