Atkin-Lehner |
2- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44650w |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
465506612000000000 = 211 · 59 · 195 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -3 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-277480,45759147] |
[a1,a2,a3,a4,a6] |
Generators |
[-591:2045:1] [18543:-370285:27] |
Generators of the group modulo torsion |
j |
151215836509827081/29792423168000 |
j-invariant |
L |
11.88958851463 |
L(r)(E,1)/r! |
Ω |
0.28066698764194 |
Real period |
R |
0.19255411764475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930g1 |
Quadratic twists by: 5 |