Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cc |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-127275585593750 = -1 · 2 · 56 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 11- 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1133430,-464168053] |
[a1,a2,a3,a4,a6] |
Generators |
[16630026113479042618:1023867494966356376595:4004378169265592] |
Generators of the group modulo torsion |
j |
-48077951625/38 |
j-invariant |
L |
12.121229634462 |
L(r)(E,1)/r! |
Ω |
0.073159527592568 |
Real period |
R |
27.613695789943 |
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 |
4598b1 114950x1 |
Quadratic twists by: 5 -11 |