Atkin-Lehner |
2+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58016g |
Isogeny class |
Conductor |
58016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9701745755222528 = 29 · 712 · 372 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-709928,-230422088] |
[a1,a2,a3,a4,a6] |
j |
656914788557000/161061481 |
j-invariant |
L |
0.65790366908413 |
L(r)(E,1)/r! |
Ω |
0.16447591728228 |
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 |
58016d2 116032bm2 8288a2 |
Quadratic twists by: -4 8 -7 |