Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150cc |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2785659933218750 = 2 · 56 · 79 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99863,-11886533] |
[a1,a2,a3,a4,a6] |
Generators |
[-10572:26411:64] |
Generators of the group modulo torsion |
j |
174676879/4418 |
j-invariant |
L |
6.6648394294302 |
L(r)(E,1)/r! |
Ω |
0.26897892545902 |
Real period |
R |
6.1945740314478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999441991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606g2 115150co2 |
Quadratic twists by: 5 -7 |