Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560j |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
47535460651571200 = 211 · 52 · 78 · 115 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3277136,2282324960] |
[a1,a2,a3,a4,a6] |
Generators |
[947:5390:1] |
Generators of the group modulo torsion |
j |
329680277223458/4026275 |
j-invariant |
L |
5.3697342441946 |
L(r)(E,1)/r! |
Ω |
0.32539690456211 |
Real period |
R |
0.55007020338445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120a1 107800c1 21560t1 |
Quadratic twists by: -4 5 -7 |