Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464s |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
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 |
[38:140:1] |
Generators of the group modulo torsion |
j |
29161230552/41209 |
j-invariant |
L |
7.8979840429078 |
L(r)(E,1)/r! |
Ω |
1.6340701097436 |
Real period |
R |
2.4166600918455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464b2 116928r2 58464f2 |
Quadratic twists by: -4 8 -3 |