Atkin-Lehner |
2+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44650k |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1080000 |
Modular degree for the optimal curve |
Δ |
-1.19169692672E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 1 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1522200,741064000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1424:5576:1] [685:-4855:1] |
Generators of the group modulo torsion |
j |
-998571751198515625/30507441324032 |
j-invariant |
L |
5.2030774211428 |
L(r)(E,1)/r! |
Ω |
0.22496869007434 |
Real period |
R |
0.77093356404748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44650t1 |
Quadratic twists by: 5 |