Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850ci |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-204633731250000 = -1 · 24 · 32 · 58 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-87263,-9952983] |
[a1,a2,a3,a4,a6] |
Generators |
[352:1549:1] |
Generators of the group modulo torsion |
j |
-188128419456145/523862352 |
j-invariant |
L |
9.2296910894288 |
L(r)(E,1)/r! |
Ω |
0.13886396629566 |
Real period |
R |
0.69235106903175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850h1 |
Quadratic twists by: 5 |