Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22365h |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
990699609375 = 36 · 58 · 72 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2588,17192] |
[a1,a2,a3,a4,a6] |
j |
2628643361401/1358984375 |
j-invariant |
L |
1.5479831353775 |
L(r)(E,1)/r! |
Ω |
0.77399156768875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2485e2 111825n2 |
Quadratic twists by: -3 5 |