Atkin-Lehner |
3- 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
36729n |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-133552924659 = -1 · 36 · 72 · 113 · 532 |
Discriminant |
Eigenvalues |
2 3- 3 7+ 11+ -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,879,-14441] |
[a1,a2,a3,a4,a6] |
Generators |
[2626:47757:8] |
Generators of the group modulo torsion |
j |
103029788672/183200171 |
j-invariant |
L |
13.628651867721 |
L(r)(E,1)/r! |
Ω |
0.54472992949492 |
Real period |
R |
6.2547746735513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4081c1 |
Quadratic twists by: -3 |