Atkin-Lehner |
2- 3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544n |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-459188033153642496 = -1 · 212 · 39 · 114 · 733 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ -2 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-906885,333704691] |
[a1,a2,a3,a4,a6] |
Generators |
[774:9801:1] |
Generators of the group modulo torsion |
j |
-20138211563024060416/112106453406651 |
j-invariant |
L |
8.3490061301636 |
L(r)(E,1)/r! |
Ω |
0.29790183641361 |
Real period |
R |
1.5570017274214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2409c1 115632ba1 |
Quadratic twists by: -4 -3 |