Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14432a |
Isogeny class |
Conductor |
14432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-28864 = -1 · 26 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -1 5 11+ 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
592704/451 |
j-invariant |
L |
5.2308294173296 |
L(r)(E,1)/r! |
Ω |
2.3892949154609 |
Real period |
R |
1.0946387119232 |
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 |
14432f1 28864e1 129888bl1 |
Quadratic twists by: -4 8 -3 |