Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39672b |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4522608 = -1 · 24 · 33 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 1 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-591,5531] |
[a1,a2,a3,a4,a6] |
Generators |
[11:19:1] |
Generators of the group modulo torsion |
j |
-52844818176/10469 |
j-invariant |
L |
6.0470613027299 |
L(r)(E,1)/r! |
Ω |
2.3785539559815 |
Real period |
R |
0.31779084133892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344b1 39672i1 |
Quadratic twists by: -4 -3 |