Atkin-Lehner |
3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
3819d |
Isogeny class |
Conductor |
3819 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14584761 = 32 · 192 · 672 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74,135] |
[a1,a2,a3,a4,a6] |
j |
45767461033/14584761 |
j-invariant |
L |
1.0263706236124 |
L(r)(E,1)/r! |
Ω |
2.0527412472249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61104w2 11457d2 95475g2 72561k2 |
Quadratic twists by: -4 -3 5 -19 |