Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880k |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
14865343934284800 = 210 · 37 · 52 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213576,37463940] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:8670:1] |
Generators of the group modulo torsion |
j |
1052163263816561956/14516937435825 |
j-invariant |
L |
7.9362625221274 |
L(r)(E,1)/r! |
Ω |
0.39551464752652 |
Real period |
R |
0.23887690716474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440o1 |
Quadratic twists by: -4 |