Atkin-Lehner |
3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105393j |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2471419061726187 = -1 · 3 · 194 · 436 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15678,-2262822] |
[a1,a2,a3,a4,a6] |
Generators |
[105318:12032401:8] |
Generators of the group modulo torsion |
j |
67419143/390963 |
j-invariant |
L |
4.5029322035012 |
L(r)(E,1)/r! |
Ω |
0.2293648587727 |
Real period |
R |
4.9080450017513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57b4 |
Quadratic twists by: -43 |