Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352db |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
6 |
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] |
Generators |
[5:33:1] |
Generators of the group modulo torsion |
j |
15185664/9317 |
j-invariant |
L |
3.9452820598934 |
L(r)(E,1)/r! |
Ω |
1.0782408974157 |
Real period |
R |
0.60983311944237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352j1 11088z1 44352cx2 |
Quadratic twists by: -4 8 -3 |