Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766y |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-8046821376 = -1 · 214 · 32 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 11+ -2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-602,6887] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:79:1] [17:35:1] |
Generators of the group modulo torsion |
j |
-18129265883/6045696 |
j-invariant |
L |
8.3338142447744 |
L(r)(E,1)/r! |
Ω |
1.2389977657524 |
Real period |
R |
0.12011168674179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298k1 29766b1 |
Quadratic twists by: -3 -11 |