Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850ch |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1860019200000000 = -1 · 216 · 35 · 58 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-183138,30221892] |
[a1,a2,a3,a4,a6] |
Generators |
[252:174:1] |
Generators of the group modulo torsion |
j |
-1738998577890625/4761649152 |
j-invariant |
L |
11.190125542674 |
L(r)(E,1)/r! |
Ω |
0.47044814432575 |
Real period |
R |
0.099108740584538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850e1 |
Quadratic twists by: 5 |