Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17952l |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13052109312 = -1 · 29 · 36 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1672,27448] |
[a1,a2,a3,a4,a6] |
Generators |
[21:34:1] |
Generators of the group modulo torsion |
j |
-1010234719304/25492401 |
j-invariant |
L |
4.1409599890365 |
L(r)(E,1)/r! |
Ω |
1.2583017941914 |
Real period |
R |
1.6454558072444 |
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 |
17952e2 35904bc2 53856l2 |
Quadratic twists by: -4 8 -3 |