Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320n |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
73557224000 = 26 · 53 · 13 · 294 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1886,-29336] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:48:1] [-20:28:1] |
Generators of the group modulo torsion |
j |
11598425995456/1149331625 |
j-invariant |
L |
6.7796821252442 |
L(r)(E,1)/r! |
Ω |
0.72904827788862 |
Real period |
R |
9.2993596321034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320l1 120640db2 |
Quadratic twists by: -4 8 |