Atkin-Lehner |
2+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770a |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-67419143000 = -1 · 23 · 53 · 113 · 373 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,592,-10952] |
[a1,a2,a3,a4,a6] |
Generators |
[83:745:1] |
Generators of the group modulo torsion |
j |
17193488941/50653000 |
j-invariant |
L |
3.8288504231368 |
L(r)(E,1)/r! |
Ω |
0.563664414548 |
Real period |
R |
3.39639182847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44770k1 |
Quadratic twists by: -11 |