Atkin-Lehner |
2- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21476a |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3192 |
Modular degree for the optimal curve |
Δ |
1116752 = 24 · 7 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-546] |
[a1,a2,a3,a4,a6] |
j |
16384000000/69797 |
j-invariant |
L |
2.1079846187932 |
L(r)(E,1)/r! |
Ω |
1.4053230791955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85904x1 |
Quadratic twists by: -4 |