Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656b |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-127783153318912 = -1 · 210 · 72 · 135 · 193 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 4 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18697,1130577] |
[a1,a2,a3,a4,a6] |
Generators |
[774690:21236103:1000] |
Generators of the group modulo torsion |
j |
-705931834922752/124788235663 |
j-invariant |
L |
11.633157696238 |
L(r)(E,1)/r! |
Ω |
0.56375281267449 |
Real period |
R |
10.317604993098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656bl1 6916d1 |
Quadratic twists by: -4 8 |