Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850bo |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
3013632 |
Modular degree for the optimal curve |
Δ |
-1.4062322934035E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -5 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2150513,-2175424369] |
[a1,a2,a3,a4,a6] |
Generators |
[6495:504592:1] |
Generators of the group modulo torsion |
j |
-1759826787573551790625/2249971669445640192 |
j-invariant |
L |
6.4255053276964 |
L(r)(E,1)/r! |
Ω |
0.05948318510579 |
Real period |
R |
0.25005142039301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850bb1 |
Quadratic twists by: 5 |