Atkin-Lehner |
2- 3- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
19422x |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-616250499675876 = -1 · 22 · 313 · 132 · 833 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 1 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-459572,120037083] |
[a1,a2,a3,a4,a6] |
Generators |
[453:1931:1] |
Generators of the group modulo torsion |
j |
-14725022956601670649/845336762244 |
j-invariant |
L |
7.9860856270712 |
L(r)(E,1)/r! |
Ω |
0.48657164366633 |
Real period |
R |
0.68387373601825 |
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 |
6474d1 |
Quadratic twists by: -3 |