Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656bi |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-19149684736 = -1 · 216 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 7- -5 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,-10049] |
[a1,a2,a3,a4,a6] |
Generators |
[69:524:1] |
Generators of the group modulo torsion |
j |
-592143556/292201 |
j-invariant |
L |
3.4013450163147 |
L(r)(E,1)/r! |
Ω |
0.4525858453174 |
Real period |
R |
3.7576794004073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656c1 27664g1 |
Quadratic twists by: -4 8 |