Atkin-Lehner |
2- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334n |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8.0063320189362E+19 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52165084,-145039061871] |
[a1,a2,a3,a4,a6] |
Generators |
[115159006353:-5899594101589:12008989] |
Generators of the group modulo torsion |
j |
-650384103073295640673/3316958728916 |
j-invariant |
L |
11.548652151238 |
L(r)(E,1)/r! |
Ω |
0.028088234891377 |
Real period |
R |
17.131508672431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902e2 |
Quadratic twists by: 17 |