Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240d |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5331101184000000 = 215 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604908,-181050768] |
[a1,a2,a3,a4,a6] |
Generators |
[24762:161000:27] |
Generators of the group modulo torsion |
j |
37953380909016/8265625 |
j-invariant |
L |
5.3075992282744 |
L(r)(E,1)/r! |
Ω |
0.17119177634919 |
Real period |
R |
3.8754776524787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240i2 33120z2 66240v2 |
Quadratic twists by: -4 8 -3 |