Atkin-Lehner |
3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337j |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1306780216252497 = 38 · 74 · 17 · 474 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17633358,28504788759] |
[a1,a2,a3,a4,a6] |
Generators |
[16014:272019:8] |
Generators of the group modulo torsion |
j |
831766207569297332728033/1792565454393 |
j-invariant |
L |
5.171243843508 |
L(r)(E,1)/r! |
Ω |
0.3149873989569 |
Real period |
R |
4.1043259671682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779h3 |
Quadratic twists by: -3 |