Atkin-Lehner |
2- 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dq |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7.3112250522307E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-342049075268,-76998144843258793] |
[a1,a2,a3,a4,a6] |
Generators |
[-26967758020414983585:13084324233227924219:79868100299625] |
Generators of the group modulo torsion |
j |
6071016954682394123338855607356153081/10029115297984535156250000 |
j-invariant |
L |
10.521676630394 |
L(r)(E,1)/r! |
Ω |
0.0062427716513533 |
Real period |
R |
26.334648457124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bp5 |
Quadratic twists by: -3 |