Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850bt |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-80600832000000 = -1 · 214 · 34 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124788,16962192] |
[a1,a2,a3,a4,a6] |
Generators |
[216:-420:1] |
Generators of the group modulo torsion |
j |
-13753789599860857/5158453248 |
j-invariant |
L |
10.834924138844 |
L(r)(E,1)/r! |
Ω |
0.59817013437634 |
Real period |
R |
0.32345444393529 |
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 |
1794d1 |
Quadratic twists by: 5 |