Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100bn |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1368307135518750000 = -1 · 24 · 33 · 58 · 76 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,189667,46502088] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:2058:1] |
Generators of the group modulo torsion |
j |
120730425098240/218929141683 |
j-invariant |
L |
8.9524400875848 |
L(r)(E,1)/r! |
Ω |
0.18586495801126 |
Real period |
R |
2.6759093705218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100c2 |
Quadratic twists by: 5 |