Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350bv |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-77228743680000000 = -1 · 216 · 38 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-166813,29421617] |
[a1,a2,a3,a4,a6] |
Generators |
[386:-4945:1] |
Generators of the group modulo torsion |
j |
-32854399024748041/4942639595520 |
j-invariant |
L |
8.8886156257061 |
L(r)(E,1)/r! |
Ω |
0.33203014482355 |
Real period |
R |
0.41828918643958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94050bd1 6270b1 |
Quadratic twists by: -3 5 |