Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176v |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-78862823424 = -1 · 212 · 36 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-15248] |
[a1,a2,a3,a4,a6] |
j |
-12487168/26411 |
j-invariant |
L |
3.4860809071417 |
L(r)(E,1)/r! |
Ω |
0.43576011339272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22176q1 44352fb1 2464h1 |
Quadratic twists by: -4 8 -3 |