Atkin-Lehner |
2- 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336o |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11108627712 = 28 · 34 · 72 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3484,77840] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:348:1] [-46:378:1] |
Generators of the group modulo torsion |
j |
18274387674832/43393077 |
j-invariant |
L |
10.60358386681 |
L(r)(E,1)/r! |
Ω |
1.2808138342867 |
Real period |
R |
0.51742413607314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672p2 |
Quadratic twists by: -4 |