Atkin-Lehner |
2- 3- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19458k |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-49153680064512 = -1 · 214 · 310 · 23 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17699,-962589] |
[a1,a2,a3,a4,a6] |
Generators |
[203:1842:1] |
Generators of the group modulo torsion |
j |
-841045259316457/67426172928 |
j-invariant |
L |
8.4185034982262 |
L(r)(E,1)/r! |
Ω |
0.20601263411599 |
Real period |
R |
1.4594291292498 |
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 |
6486d1 |
Quadratic twists by: -3 |