Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
28400r |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
9088000000 = 213 · 56 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 2 3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,3712] |
[a1,a2,a3,a4,a6] |
Generators |
[2:50:1] |
Generators of the group modulo torsion |
j |
389017/142 |
j-invariant |
L |
4.3597470506598 |
L(r)(E,1)/r! |
Ω |
1.1891079045251 |
Real period |
R |
0.91660038463896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3550j1 113600ci1 1136e1 |
Quadratic twists by: -4 8 5 |