Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272k |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
38864448 = 26 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2505,-48256] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1404:1] |
Generators of the group modulo torsion |
j |
37259704000/833 |
j-invariant |
L |
4.9151943846106 |
L(r)(E,1)/r! |
Ω |
0.6748359412015 |
Real period |
R |
3.6417698617679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272s1 68544du1 3808a1 |
Quadratic twists by: -4 8 -3 |