Atkin-Lehner |
3+ 7+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29127a |
Isogeny class |
Conductor |
29127 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-445905243 = -1 · 38 · 72 · 19 · 73 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ 0 7 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,191,9] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-41:1] |
Generators of the group modulo torsion |
j |
766563319808/445905243 |
j-invariant |
L |
2.7484007797123 |
L(r)(E,1)/r! |
Ω |
1.006991062835 |
Real period |
R |
0.68232998314173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87381a1 |
Quadratic twists by: -3 |