Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840bq |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2292494400 = 26 · 34 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-586,4760] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:84:1] |
Generators of the group modulo torsion |
j |
348319262656/35820225 |
j-invariant |
L |
6.4900553705094 |
L(r)(E,1)/r! |
Ω |
1.4145295485153 |
Real period |
R |
1.1470342519575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840f1 127680bf2 |
Quadratic twists by: -4 8 |