Atkin-Lehner |
2+ 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bs |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.5589450439132E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-741619179,-7773367190207] |
[a1,a2,a3,a4,a6] |
Generators |
[4090095:-218259182:125] |
Generators of the group modulo torsion |
j |
61878395195520855674227163569/213847056778217940 |
j-invariant |
L |
5.827931904571 |
L(r)(E,1)/r! |
Ω |
0.028930391888364 |
Real period |
R |
12.590418649208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999832589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bs4 |
Quadratic twists by: -3 |