Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975q |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.0083307129172E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9102288,10231472406] |
[a1,a2,a3,a4,a6] |
Generators |
[2145:23052:1] |
Generators of the group modulo torsion |
j |
3013001140430737/108679952667 |
j-invariant |
L |
3.3527666923314 |
L(r)(E,1)/r! |
Ω |
0.14145019722983 |
Real period |
R |
5.9257016158931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719j5 10725a5 |
Quadratic twists by: 5 -11 |