Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
13992c |
Isogeny class |
Conductor |
13992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7047938304 = 28 · 34 · 112 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-804,-8064] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:30:1] |
Generators of the group modulo torsion |
j |
224797743952/27531009 |
j-invariant |
L |
4.9296077952348 |
L(r)(E,1)/r! |
Ω |
0.90367603095284 |
Real period |
R |
1.3637652284627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27984a2 111936a2 41976b2 |
Quadratic twists by: -4 8 -3 |