Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460d |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4952306034000 = 24 · 33 · 53 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4572,-51911] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:35:1] |
Generators of the group modulo torsion |
j |
24465755455488/11463671375 |
j-invariant |
L |
4.799987062676 |
L(r)(E,1)/r! |
Ω |
0.60759101970694 |
Real period |
R |
2.6333432122289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44460b3 |
Quadratic twists by: -3 |