Atkin-Lehner |
3- 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915s |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4885082685 = 32 · 5 · 72 · 17 · 194 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-199928,-34424467] |
[a1,a2,a3,a4,a6] |
Generators |
[9486:294161:8] |
Generators of the group modulo torsion |
j |
883774474616992928761/4885082685 |
j-invariant |
L |
9.3340399255485 |
L(r)(E,1)/r! |
Ω |
0.22577788980649 |
Real period |
R |
5.167711469416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745q4 |
Quadratic twists by: -3 |