Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824bf |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-4255070315085824 = -1 · 221 · 133 · 314 |
Discriminant |
Eigenvalues |
2- 1 -1 5 -4 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26056,3522676] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-1664:1] |
Generators of the group modulo torsion |
j |
-217407044197/472842752 |
j-invariant |
L |
7.4514545006389 |
L(r)(E,1)/r! |
Ω |
0.38872866391452 |
Real period |
R |
1.1980487915431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478i1 83824bi1 |
Quadratic twists by: -4 13 |