Atkin-Lehner |
5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44795i |
Isogeny class |
Conductor |
44795 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
24844724341796875 = 59 · 177 · 31 |
Discriminant |
Eigenvalues |
-1 -1 5- -2 6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-260395,-50687418] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:866:1] |
Generators of the group modulo torsion |
j |
80896216567249/1029296875 |
j-invariant |
L |
2.8753340088107 |
L(r)(E,1)/r! |
Ω |
0.21150743482564 |
Real period |
R |
0.37762449910995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635a1 |
Quadratic twists by: 17 |