Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bk |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-710073682580448207 = -1 · 36 · 79 · 176 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-278795,-69601094] |
[a1,a2,a3,a4,a6] |
Generators |
[388630599829438:-7799500415245741:471455917687] |
Generators of the group modulo torsion |
j |
-3375 |
j-invariant |
L |
4.8832778355765 |
L(r)(E,1)/r! |
Ω |
0.10232170598468 |
Real period |
R |
23.862374935055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14161a3 127449bk1 441d3 |
Quadratic twists by: -3 -7 17 |