Atkin-Lehner |
2+ 3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bi |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-1.5589378858852E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32775435,74686931361] |
[a1,a2,a3,a4,a6] |
Generators |
[-3129:384447:1] |
Generators of the group modulo torsion |
j |
-5341233749568496803722161/213846074881367696460 |
j-invariant |
L |
5.3766773545125 |
L(r)(E,1)/r! |
Ω |
0.10173835868108 |
Real period |
R |
2.2020035531268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998125082 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270cx4 |
Quadratic twists by: -3 |