Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338r |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
106218203787792 = 24 · 310 · 172 · 733 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21079751,37256988975] |
[a1,a2,a3,a4,a6] |
Generators |
[2553:7410:1] |
Generators of the group modulo torsion |
j |
1420995145217740897747753/145703983248 |
j-invariant |
L |
7.2760410409731 |
L(r)(E,1)/r! |
Ω |
0.33538896989353 |
Real period |
R |
0.90393067131413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7446a1 |
Quadratic twists by: -3 |