Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16240b |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9094400 = 28 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143,-642] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [14:10:1] |
Generators of the group modulo torsion |
j |
1263257424/35525 |
j-invariant |
L |
6.3497446507591 |
L(r)(E,1)/r! |
Ω |
1.3829667454973 |
Real period |
R |
2.2956967951083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8120c2 64960bn2 81200n2 113680n2 |
Quadratic twists by: -4 8 5 -7 |