Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640n |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
183857328360000 = 26 · 314 · 54 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15033,-278768] |
[a1,a2,a3,a4,a6] |
Generators |
[16380:4774:125] |
Generators of the group modulo torsion |
j |
8052916245184/3940700625 |
j-invariant |
L |
6.1202048809113 |
L(r)(E,1)/r! |
Ω |
0.45308383234952 |
Real period |
R |
6.7539431380403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44640j1 89280fr2 14880r1 |
Quadratic twists by: -4 8 -3 |