Atkin-Lehner |
2- 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838bl |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
627200 |
Modular degree for the optimal curve |
Δ |
118298697308064 = 25 · 35 · 79 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92660,-10882411] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:103:1] |
Generators of the group modulo torsion |
j |
2180311435063/2931552 |
j-invariant |
L |
10.191823785658 |
L(r)(E,1)/r! |
Ω |
0.27366012573665 |
Real period |
R |
3.7242633527271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838cm1 |
Quadratic twists by: -7 |