Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218s |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-658133909200502784 = -1 · 216 · 318 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -6 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2329221,-1369773045] |
[a1,a2,a3,a4,a6] |
Generators |
[6847:547700:1] |
Generators of the group modulo torsion |
j |
-2641801258666400088001/1244109469188096 |
j-invariant |
L |
5.2652398137914 |
L(r)(E,1)/r! |
Ω |
0.061101886064824 |
Real period |
R |
1.3464293394022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654h1 22218y1 |
Quadratic twists by: -3 -23 |