Atkin-Lehner |
2+ 3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574d |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
180096 |
Modular degree for the optimal curve |
Δ |
1139488683606 = 2 · 36 · 77 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5580,-150606] |
[a1,a2,a3,a4,a6] |
j |
26359827238081/1563084614 |
j-invariant |
L |
1.1088526830718 |
L(r)(E,1)/r! |
Ω |
0.55442656595443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286g1 |
Quadratic twists by: -3 |