Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bs |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
31701404160000 = 212 · 34 · 54 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52160,-4559808] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:56:1] |
Generators of the group modulo torsion |
j |
3831641236232641/7739600625 |
j-invariant |
L |
6.8193086205309 |
L(r)(E,1)/r! |
Ω |
0.31594913225833 |
Real period |
R |
2.697945622253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922028 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5865g2 |
Quadratic twists by: -4 |