Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636v |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-111428352 = -1 · 28 · 33 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 1 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,503] |
[a1,a2,a3,a4,a6] |
Generators |
[2:21:1] |
Generators of the group modulo torsion |
j |
-65536/1269 |
j-invariant |
L |
7.755110661777 |
L(r)(E,1)/r! |
Ω |
1.5779718321106 |
Real period |
R |
0.81910108743875 |
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 |
110544cb1 82908v1 27636e1 |
Quadratic twists by: -4 -3 -7 |