Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350bg |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5607688340250000000 = 27 · 38 · 59 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-637992,-159499584] |
[a1,a2,a3,a4,a6] |
Generators |
[903:-141:1] |
Generators of the group modulo torsion |
j |
20170293914861/3938458752 |
j-invariant |
L |
3.8049980334593 |
L(r)(E,1)/r! |
Ω |
0.17122361425436 |
Real period |
R |
5.5555976464305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bk2 19350cx2 |
Quadratic twists by: -3 5 |