Atkin-Lehner |
2- 5- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630i |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
-2258843750000000 = -1 · 27 · 512 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- -2 2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16008,2145659] |
[a1,a2,a3,a4,a6] |
Generators |
[67:1841:1] |
Generators of the group modulo torsion |
j |
453691218190625199/2258843750000000 |
j-invariant |
L |
7.711625717837 |
L(r)(E,1)/r! |
Ω |
0.33175007210967 |
Real period |
R |
0.55345921998256 |
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 |
88150d2 |
Quadratic twists by: 5 |