Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cn |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
334611000000000 = 29 · 39 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-610875,183768750] |
[a1,a2,a3,a4,a6] |
Generators |
[4178:21437:8] |
Generators of the group modulo torsion |
j |
1280824056/17 |
j-invariant |
L |
6.6027046234584 |
L(r)(E,1)/r! |
Ω |
0.49295863433228 |
Real period |
R |
6.6970168793106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400k2 122400p2 122400n2 |
Quadratic twists by: -4 -3 5 |