Atkin-Lehner |
2+ 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920d |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1257007899031971840 = 211 · 32 · 5 · 136 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-602826816,-5696677576800] |
[a1,a2,a3,a4,a6] |
Generators |
[27636669:3712405762:729] |
Generators of the group modulo torsion |
j |
11829637862918730166039917698/613773388199205 |
j-invariant |
L |
6.6177478342373 |
L(r)(E,1)/r! |
Ω |
0.030468523847338 |
Real period |
R |
9.0499787421474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960r2 |
Quadratic twists by: -4 |