Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134bs |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
23654400 |
Modular degree for the optimal curve |
Δ |
1.8802638807863E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39027423,-66755217915] |
[a1,a2,a3,a4,a6] |
Generators |
[-4005:161154:1] |
Generators of the group modulo torsion |
j |
8146748259978623875/2330074250477568 |
j-invariant |
L |
10.098550343757 |
L(r)(E,1)/r! |
Ω |
0.0617182313973 |
Real period |
R |
2.9218474303348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162z1 106134w1 |
Quadratic twists by: -7 -19 |