Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466i |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
531732118148496 = 24 · 37 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69921,-7011923] |
[a1,a2,a3,a4,a6] |
Generators |
[309:748:1] |
Generators of the group modulo torsion |
j |
1102302937/15504 |
j-invariant |
L |
5.7660531864196 |
L(r)(E,1)/r! |
Ω |
0.29384422980927 |
Real period |
R |
2.4528528278442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36822u1 5814p1 |
Quadratic twists by: -3 -19 |