Atkin-Lehner |
5+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
44075c |
Isogeny class |
Conductor |
44075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-27546875 = -1 · 56 · 41 · 43 |
Discriminant |
Eigenvalues |
0 -1 5+ 0 2 -6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,17,-257] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] [74:193:8] |
Generators of the group modulo torsion |
j |
32768/1763 |
j-invariant |
L |
6.2353400346786 |
L(r)(E,1)/r! |
Ω |
1.0074876232782 |
Real period |
R |
3.0944995703212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1763a1 |
Quadratic twists by: 5 |