Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5054a |
Isogeny class |
Conductor |
5054 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-86827058855936 = -1 · 235 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 0 1 7- -2 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75754,8056692] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1222:1] |
Generators of the group modulo torsion |
j |
-133179212896925841/240518168576 |
j-invariant |
L |
3.0174534443272 |
L(r)(E,1)/r! |
Ω |
0.60567746818196 |
Real period |
R |
4.9819476583544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40432o2 45486bn2 126350ci2 35378e2 |
Quadratic twists by: -4 -3 5 -7 |