Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450w |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1892553391687500 = 22 · 37 · 56 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31842,-626184] |
[a1,a2,a3,a4,a6] |
Generators |
[214:1418:1] |
Generators of the group modulo torsion |
j |
313461959257/166150092 |
j-invariant |
L |
3.9989178937143 |
L(r)(E,1)/r! |
Ω |
0.37948086319838 |
Real period |
R |
0.65861652745974 |
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 |
9150y4 1098k3 |
Quadratic twists by: -3 5 |