Atkin-Lehner |
2+ 3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bk |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5894306344615E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13436766,-2922566832] |
[a1,a2,a3,a4,a6] |
Generators |
[10519:1135905:1] |
Generators of the group modulo torsion |
j |
368027632362156474550751/218028893616121161420 |
j-invariant |
L |
4.5219621413378 |
L(r)(E,1)/r! |
Ω |
0.059913503535574 |
Real period |
R |
9.4343552269687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999463622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270ck3 |
Quadratic twists by: -3 |