Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464b |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
569673216 = 29 · 33 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1539,-23210] |
[a1,a2,a3,a4,a6] |
Generators |
[53:210:1] |
Generators of the group modulo torsion |
j |
29161230552/41209 |
j-invariant |
L |
6.435724775879 |
L(r)(E,1)/r! |
Ω |
0.7623014676734 |
Real period |
R |
2.1106232405195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464s2 116928j2 58464r2 |
Quadratic twists by: -4 8 -3 |