Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320c |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
519321600 = 211 · 32 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1016,-12084] |
[a1,a2,a3,a4,a6] |
j |
56689453298/253575 |
j-invariant |
L |
1.6915599603421 |
L(r)(E,1)/r! |
Ω |
0.84577998017107 |
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 |
38640u2 57960bu2 96600cf2 |
Quadratic twists by: -4 -3 5 |