Atkin-Lehner |
5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275g |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83712 |
Modular degree for the optimal curve |
Δ |
538693925 = 52 · 7 · 11 · 234 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11+ -1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-91343,-10656291] |
[a1,a2,a3,a4,a6] |
Generators |
[-59969:-160:343] |
Generators of the group modulo torsion |
j |
3371430966038855680/21547757 |
j-invariant |
L |
3.013094691337 |
L(r)(E,1)/r! |
Ω |
0.27461884790956 |
Real period |
R |
2.7429787815775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275l1 |
Quadratic twists by: 5 |