Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352j |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-257596416 = -1 · 210 · 33 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,156,-184] |
[a1,a2,a3,a4,a6] |
j |
15185664/9317 |
j-invariant |
L |
2.023465046313 |
L(r)(E,1)/r! |
Ω |
1.0117325232366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352db1 2772d1 44352n2 |
Quadratic twists by: -4 8 -3 |