Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bk |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-1477066664390625 = -1 · 32 · 56 · 72 · 118 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9012,-1818783] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1205:1] |
Generators of the group modulo torsion |
j |
24167/441 |
j-invariant |
L |
3.4671109849893 |
L(r)(E,1)/r! |
Ω |
0.23278721750352 |
Real period |
R |
1.2411588510384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541f1 63525bt1 |
Quadratic twists by: 5 -11 |