Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120cm |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4620288000 = 218 · 3 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23521,-1396321] |
[a1,a2,a3,a4,a6] |
Generators |
[5028450423265:26308699822464:26543596087] |
Generators of the group modulo torsion |
j |
5489965305721/17625 |
j-invariant |
L |
7.5369653060093 |
L(r)(E,1)/r! |
Ω |
0.38550867400509 |
Real period |
R |
19.550702264894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120d1 11280o1 |
Quadratic twists by: -4 8 |