Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272q |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
123729789399552 = 29 · 310 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381891,90834266] |
[a1,a2,a3,a4,a6] |
Generators |
[3314:15435:8] |
Generators of the group modulo torsion |
j |
16502300582616584/331494849 |
j-invariant |
L |
4.7966483377499 |
L(r)(E,1)/r! |
Ω |
0.54172138894536 |
Real period |
R |
4.4272281246718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272j4 68544el4 11424q2 |
Quadratic twists by: -4 8 -3 |