Atkin-Lehner |
2+ 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
111936d |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
162246642624 = 26 · 33 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1464,9954] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:110:1] |
Generators of the group modulo torsion |
j |
5425797533248/2535103791 |
j-invariant |
L |
2.8352549576383 |
L(r)(E,1)/r! |
Ω |
0.91327264336297 |
Real period |
R |
2.069666719945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998706694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111936e1 55968a2 |
Quadratic twists by: -4 8 |