Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218w |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-31592929536 = -1 · 28 · 32 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -2 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,518,-7033] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-513:1] |
Generators of the group modulo torsion |
j |
54922367/112896 |
j-invariant |
L |
4.7596044047844 |
L(r)(E,1)/r! |
Ω |
0.60987185453837 |
Real period |
R |
0.081294475521199 |
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 |
66654l1 22218ba1 |
Quadratic twists by: -3 -23 |