Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416j |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4259912631625728 = 211 · 35 · 7 · 114 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84232,8841968] |
[a1,a2,a3,a4,a6] |
j |
32272324948425746/2080035464661 |
j-invariant |
L |
4.2988517259955 |
L(r)(E,1)/r! |
Ω |
0.42988517259972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832a4 94248bd4 |
Quadratic twists by: -4 -3 |