Atkin-Lehner |
2- 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41652i |
Isogeny class |
Conductor |
41652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-8421034752 = -1 · 28 · 37 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,-4444] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-234:1] |
Generators of the group modulo torsion |
j |
-1024000/45123 |
j-invariant |
L |
4.3556038238175 |
L(r)(E,1)/r! |
Ω |
0.57217805364057 |
Real period |
R |
0.63436020135426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13884b1 |
Quadratic twists by: -3 |