Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119560p |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156897459353600 = 211 · 52 · 77 · 612 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19616,-862420] |
[a1,a2,a3,a4,a6] |
Generators |
[-138258783:679857164:1601613] |
Generators of the group modulo torsion |
j |
3464647202/651175 |
j-invariant |
L |
10.088272571597 |
L(r)(E,1)/r! |
Ω |
0.40865653374269 |
Real period |
R |
12.343216965126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17080k2 |
Quadratic twists by: -7 |