Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120cm |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
81432576000000 = 218 · 32 · 56 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23841,-1356705] |
[a1,a2,a3,a4,a6] |
Generators |
[4024029:93777984:6859] |
Generators of the group modulo torsion |
j |
5717095008841/310640625 |
j-invariant |
L |
7.5369653060093 |
L(r)(E,1)/r! |
Ω |
0.38550867400509 |
Real period |
R |
9.775351132447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45120d2 11280o2 |
Quadratic twists by: -4 8 |