Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248u |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
502954495674810368 = 217 · 72 · 238 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1472912,687684032] |
[a1,a2,a3,a4,a6] |
Generators |
[658:1722:1] |
Generators of the group modulo torsion |
j |
582810602977/829472 |
j-invariant |
L |
9.728093576229 |
L(r)(E,1)/r! |
Ω |
0.29363430943678 |
Real period |
R |
4.1412452767187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406i2 2576p2 |
Quadratic twists by: -4 -23 |