Atkin-Lehner |
2- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
44384f |
Isogeny class |
Conductor |
44384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-30274859008 = -1 · 212 · 19 · 733 |
Discriminant |
Eigenvalues |
2- 0 -4 2 -6 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2312,-43600] |
[a1,a2,a3,a4,a6] |
Generators |
[97:803:1] [316:5548:1] |
Generators of the group modulo torsion |
j |
-333677753856/7391323 |
j-invariant |
L |
7.1597844942345 |
L(r)(E,1)/r! |
Ω |
0.34379798184052 |
Real period |
R |
3.4709261797221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44384b1 88768c1 |
Quadratic twists by: -4 8 |