Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536o |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-47758926938112 = -1 · 221 · 39 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-528,-332352] |
[a1,a2,a3,a4,a6] |
j |
-3981876625/11659894272 |
j-invariant |
L |
1.1539801593811 |
L(r)(E,1)/r! |
Ω |
0.28849503968316 |
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 |
6942l1 |
Quadratic twists by: -4 |