Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405a |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
213731628945328125 = 33 · 56 · 477 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1643910,811375675] |
[a1,a2,a3,a4,a6] |
j |
1688134559643/734375 |
j-invariant |
L |
0.62166434116989 |
L(r)(E,1)/r! |
Ω |
0.31083247455126 |
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 |
99405b2 2115b2 |
Quadratic twists by: -3 -47 |