Atkin-Lehner |
2+ 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064m |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
-235682543616 = -1 · 211 · 3 · 132 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 0 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200,23316] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:156:1] |
Generators of the group modulo torsion |
j |
-434163602/115079367 |
j-invariant |
L |
8.6013801833384 |
L(r)(E,1)/r! |
Ω |
0.80653289940421 |
Real period |
R |
1.3330795603149 |
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 |
19032b1 114192m1 |
Quadratic twists by: -4 -3 |