Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218h |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-2227931242559511552 = -1 · 210 · 34 · 73 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,176411,-65834867] |
[a1,a2,a3,a4,a6] |
Generators |
[394:7867:1] |
Generators of the group modulo torsion |
j |
4101378352343/15049939968 |
j-invariant |
L |
3.9097037201149 |
L(r)(E,1)/r! |
Ω |
0.1320738223827 |
Real period |
R |
2.4668676764638 |
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 |
66654by1 966a1 |
Quadratic twists by: -3 -23 |