Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272z |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-5609083786113024 = -1 · 212 · 39 · 72 · 175 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100008,12695184] |
[a1,a2,a3,a4,a6] |
Generators |
[192:756:1] |
Generators of the group modulo torsion |
j |
-1372071356928/69572993 |
j-invariant |
L |
5.3085170734484 |
L(r)(E,1)/r! |
Ω |
0.42286845675839 |
Real period |
R |
1.5691987037004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34272a1 68544m1 34272e1 |
Quadratic twists by: -4 8 -3 |