Atkin-Lehner |
2+ 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832a |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
103607643718656 = 210 · 310 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16192,629200] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:1190:1] |
Generators of the group modulo torsion |
j |
458513431504132/101179339569 |
j-invariant |
L |
6.2702304275083 |
L(r)(E,1)/r! |
Ω |
0.5627459554966 |
Real period |
R |
2.7855510848562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31416j2 |
Quadratic twists by: -4 |