Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905m |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
350079305625 = 32 · 54 · 76 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,1322] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:186:1] |
Generators of the group modulo torsion |
j |
5168743489/2975625 |
j-invariant |
L |
2.2079797881501 |
L(r)(E,1)/r! |
Ω |
0.81706852304308 |
Real period |
R |
0.67557974817299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50715ba2 84525ck2 345d2 |
Quadratic twists by: -3 5 -7 |