Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456by |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-46509686784 = -1 · 215 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11- -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12171,516922] |
[a1,a2,a3,a4,a6] |
Generators |
[53:144:1] |
Generators of the group modulo torsion |
j |
-66775173193/15576 |
j-invariant |
L |
9.6013420440669 |
L(r)(E,1)/r! |
Ω |
1.1047336984969 |
Real period |
R |
0.5431932409184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11682p1 31152x1 |
Quadratic twists by: -4 -3 |