Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885m |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-73633828125 = -1 · 3 · 57 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1017,17646] |
[a1,a2,a3,a4,a6] |
Generators |
[2:124:1] |
Generators of the group modulo torsion |
j |
-4079249161/2578125 |
j-invariant |
L |
6.2717507286613 |
L(r)(E,1)/r! |
Ω |
1.009151667216 |
Real period |
R |
0.88783918108215 |
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 |
83655j1 27885d1 |
Quadratic twists by: -3 13 |