Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400c |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
84272400000000 = 210 · 36 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153008,-22981488] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:52:1] |
Generators of the group modulo torsion |
j |
24759905519524/5267025 |
j-invariant |
L |
2.919026216661 |
L(r)(E,1)/r! |
Ω |
0.24139392004018 |
Real period |
R |
3.0230941775326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10200p2 81600ig2 61200cb2 4080q2 |
Quadratic twists by: -4 8 -3 5 |