Atkin-Lehner |
2- 3- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882bq |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
14696906499072 = 210 · 37 · 73 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8402,-229935] |
[a1,a2,a3,a4,a6] |
Generators |
[197:-2493:1] |
Generators of the group modulo torsion |
j |
89969592967129/20160365568 |
j-invariant |
L |
7.8627427242746 |
L(r)(E,1)/r! |
Ω |
0.50665710710097 |
Real period |
R |
0.25864773508795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999912501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294g1 |
Quadratic twists by: -3 |