Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272be |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9251477574861312 = 29 · 312 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52491,104974] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:2142:1] |
Generators of the group modulo torsion |
j |
42852953779784/24786408969 |
j-invariant |
L |
3.4445464593342 |
L(r)(E,1)/r! |
Ω |
0.34750730575658 |
Real period |
R |
2.4780388802437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272bj2 68544dm2 11424g2 |
Quadratic twists by: -4 8 -3 |