Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350ba |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
473878476562500 = 22 · 38 · 510 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19917,276241] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:743:1] |
Generators of the group modulo torsion |
j |
76711450249/41602500 |
j-invariant |
L |
3.180518670008 |
L(r)(E,1)/r! |
Ω |
0.45836497930072 |
Real period |
R |
1.7347085912084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6450bd2 3870y2 |
Quadratic twists by: -3 5 |