Atkin-Lehner |
2+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
110960a |
Isogeny class |
Conductor |
110960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
292608 |
Modular degree for the optimal curve |
Δ |
105412000000000 = 211 · 59 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 3 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12936,272660] |
[a1,a2,a3,a4,a6] |
Generators |
[10:380:1] |
Generators of the group modulo torsion |
j |
116903456618258/51470703125 |
j-invariant |
L |
8.791502758462 |
L(r)(E,1)/r! |
Ω |
0.53598808993335 |
Real period |
R |
2.0503027242334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55480b1 |
Quadratic twists by: -4 |