Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520n |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-13845841000000 = -1 · 26 · 56 · 614 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155040,23446150] |
[a1,a2,a3,a4,a6] |
Generators |
[1850:915:8] |
Generators of the group modulo torsion |
j |
-6439880646461859904/216341265625 |
j-invariant |
L |
3.3324749483958 |
L(r)(E,1)/r! |
Ω |
0.65896424768861 |
Real period |
R |
0.84285679131677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19520m1 9760b2 97600q1 |
Quadratic twists by: -4 8 5 |