Atkin-Lehner |
3+ 5- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825g |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
9908203125 = 3 · 59 · 19 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1833,30443] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:14:1] [17:62:1] |
Generators of the group modulo torsion |
j |
348913664/5073 |
j-invariant |
L |
8.6124842185084 |
L(r)(E,1)/r! |
Ω |
1.2932969410857 |
Real period |
R |
3.3296623338404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825y1 |
Quadratic twists by: 5 |