Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420c |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.427149625332E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2142036063,-38158191948042] |
[a1,a2,a3,a4,a6] |
Generators |
[-888565967172304994133135518058:-201075939824359138011418666446:33242093320712575365800369] |
Generators of the group modulo torsion |
j |
215711246863809333161413488/283229346337106645 |
j-invariant |
L |
3.8143158128725 |
L(r)(E,1)/r! |
Ω |
0.022191818629764 |
Real period |
R |
42.969842586005 |
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 |
85680cy2 21420g2 107100h2 |
Quadratic twists by: -4 -3 5 |