Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728co |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-400193513201664 = -1 · 213 · 33 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16611,1267042] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1176:1] |
Generators of the group modulo torsion |
j |
-38958219/30758 |
j-invariant |
L |
9.0823193619386 |
L(r)(E,1)/r! |
Ω |
0.48918501115834 |
Real period |
R |
0.58019455573679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466e1 91728cp2 13104bi1 |
Quadratic twists by: -4 -3 -7 |