Atkin-Lehner |
2+ 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160g |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1023402240000 = 211 · 32 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14616,683280] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1050:1] [-96:1092:1] |
Generators of the group modulo torsion |
j |
168619996578098/499708125 |
j-invariant |
L |
8.5159272812964 |
L(r)(E,1)/r! |
Ω |
0.87965206965885 |
Real period |
R |
0.60506360803267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080i3 |
Quadratic twists by: -4 |