Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19404bb |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.092146808083E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11094531,-7106271599] |
[a1,a2,a3,a4,a6] |
Generators |
[5600:480249:1] |
Generators of the group modulo torsion |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
3.6290247540353 |
L(r)(E,1)/r! |
Ω |
0.059353339374971 |
Real period |
R |
1.0918343289079 |
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 |
77616fo1 6468n1 2772h1 |
Quadratic twists by: -4 -3 -7 |