Atkin-Lehner |
2+ 3- 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526k |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13057032978 = 2 · 310 · 11 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-859722336,9702754639510] |
[a1,a2,a3,a4,a6] |
Generators |
[163702271445:-106565076670:9663597] |
Generators of the group modulo torsion |
j |
96398619446564067763779872257/17910882 |
j-invariant |
L |
6.691338527722 |
L(r)(E,1)/r! |
Ω |
0.22203662216451 |
Real period |
R |
15.068096562004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28842k4 |
Quadratic twists by: -3 |