Atkin-Lehner |
2+ 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29736b |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
32734376697480192 = 210 · 33 · 78 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186171,29667654] |
[a1,a2,a3,a4,a6] |
Generators |
[570:10428:1] |
Generators of the group modulo torsion |
j |
25810480277912844/1183969064579 |
j-invariant |
L |
4.2418180257755 |
L(r)(E,1)/r! |
Ω |
0.36516774423931 |
Real period |
R |
5.8080404042967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472h1 29736k1 |
Quadratic twists by: -4 -3 |