Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350ct |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-292759480915200 = -1 · 28 · 36 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139513,20062457] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:-6013:1] |
Generators of the group modulo torsion |
j |
-2488672890625/2426112 |
j-invariant |
L |
10.21135569161 |
L(r)(E,1)/r! |
Ω |
0.54416410379929 |
Real period |
R |
0.097735487982046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050bg1 25350p1 1950h1 |
Quadratic twists by: -3 5 13 |