Atkin-Lehner |
2- 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838bn |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
210308795214336 = 29 · 33 · 79 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15289,-212857] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-2856:1] |
Generators of the group modulo torsion |
j |
3359498792833/1787595264 |
j-invariant |
L |
11.470865225091 |
L(r)(E,1)/r! |
Ω |
0.45616965365047 |
Real period |
R |
0.69850140832263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834u1 |
Quadratic twists by: -7 |