Atkin-Lehner |
2+ 3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44304b |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-371631876096 = -1 · 211 · 3 · 132 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 3 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,760,-27948] |
[a1,a2,a3,a4,a6] |
Generators |
[291:4992:1] |
Generators of the group modulo torsion |
j |
23673527278/181460877 |
j-invariant |
L |
8.4444626123151 |
L(r)(E,1)/r! |
Ω |
0.47385745819705 |
Real period |
R |
4.455170255444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22152a1 |
Quadratic twists by: -4 |