Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190cj |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
81155621903528250 = 2 · 34 · 53 · 138 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12639936,-17297834490] |
[a1,a2,a3,a4,a6] |
Generators |
[-174861060:93705375:85184] |
Generators of the group modulo torsion |
j |
273786179020144609/99488250 |
j-invariant |
L |
10.710959844097 |
L(r)(E,1)/r! |
Ω |
0.080068804698809 |
Real period |
R |
11.14766219254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190bd2 |
Quadratic twists by: 13 |