Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008f |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
54928697128759296 = 212 · 34 · 176 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95537,1395135] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1140:1] |
Generators of the group modulo torsion |
j |
23544155043972928/13410326447451 |
j-invariant |
L |
8.2739631745691 |
L(r)(E,1)/r! |
Ω |
0.30358034160764 |
Real period |
R |
2.2712173244249 |
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 |
31008l2 62016b1 93024bi2 |
Quadratic twists by: -4 8 -3 |