Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120bb |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20358144000000 = 216 · 32 · 56 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188001,31311999] |
[a1,a2,a3,a4,a6] |
Generators |
[20595:492184:27] |
Generators of the group modulo torsion |
j |
11213122573692004/310640625 |
j-invariant |
L |
7.6950983083097 |
L(r)(E,1)/r! |
Ω |
0.6349970174179 |
Real period |
R |
6.0591609859824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45120bt2 5640f2 |
Quadratic twists by: -4 8 |