Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368bu |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2970865461362688 = 223 · 36 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1574955,760760154] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:30464:1] |
Generators of the group modulo torsion |
j |
144690722229371625/994936832 |
j-invariant |
L |
7.2676973773022 |
L(r)(E,1)/r! |
Ω |
0.40313389725227 |
Real period |
R |
2.2534998297369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12546m2 11152k2 |
Quadratic twists by: -4 -3 |