Atkin-Lehner |
2+ 3- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882l |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
143808 |
Modular degree for the optimal curve |
Δ |
-7420313124 = -1 · 22 · 36 · 7 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5586,162152] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-12:1] |
Generators of the group modulo torsion |
j |
-26444947540257/10178756 |
j-invariant |
L |
5.8651847884619 |
L(r)(E,1)/r! |
Ω |
1.2981584922674 |
Real period |
R |
2.2590403000578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14098d1 |
Quadratic twists by: -3 |