Atkin-Lehner |
2+ 3- 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882n |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-5598821523456 = -1 · 213 · 36 · 72 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19089,-1016739] |
[a1,a2,a3,a4,a6] |
Generators |
[235:2609:1] |
Generators of the group modulo torsion |
j |
-1055257664218129/7680139264 |
j-invariant |
L |
5.3691207879602 |
L(r)(E,1)/r! |
Ω |
0.20299433525795 |
Real period |
R |
3.3062010863393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14098e1 |
Quadratic twists by: -3 |