Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920el |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9067393843200 = 217 · 33 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-806561,279076161] |
[a1,a2,a3,a4,a6] |
Generators |
[523:164:1] |
Generators of the group modulo torsion |
j |
442716776803843922/69178725 |
j-invariant |
L |
3.5489631383784 |
L(r)(E,1)/r! |
Ω |
0.57249897210162 |
Real period |
R |
3.0995366899857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920cq4 18480x4 |
Quadratic twists by: -4 8 |