Atkin-Lehner |
17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21097a |
Isogeny class |
Conductor |
21097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-128629105201 = -1 · 176 · 732 |
Discriminant |
Eigenvalues |
1 0 -2 -2 2 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1102,-10255] |
[a1,a2,a3,a4,a6] |
Generators |
[614:5473:8] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
3.571450421682 |
L(r)(E,1)/r! |
Ω |
0.57367459125628 |
Real period |
R |
3.1127842126152 |
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 |
73a1 |
Quadratic twists by: 17 |