Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134ce |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
102218548967405892 = 22 · 35 · 76 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1689668,-845940607] |
[a1,a2,a3,a4,a6] |
j |
96386901625/18468 |
j-invariant |
L |
4.2374459995075 |
L(r)(E,1)/r! |
Ω |
0.13242018853094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166i1 5586r1 |
Quadratic twists by: -7 -19 |