Atkin-Lehner |
2- 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
59640p |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
452842625097676800 = 211 · 32 · 52 · 712 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-720816,-233555616] |
[a1,a2,a3,a4,a6] |
j |
20224026084685209698/221114563035975 |
j-invariant |
L |
1.3116569827003 |
L(r)(E,1)/r! |
Ω |
0.16395712249782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280a3 |
Quadratic twists by: -4 |