Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400z |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3569184000000 = 211 · 38 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18808,982388] |
[a1,a2,a3,a4,a6] |
Generators |
[-787588:-8787150:6859] [-86:1404:1] |
Generators of the group modulo torsion |
j |
22994537186/111537 |
j-invariant |
L |
7.7636512561541 |
L(r)(E,1)/r! |
Ω |
0.79393407608296 |
Real period |
R |
0.30558469407407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10200c3 81600fx4 61200cc4 816b3 |
Quadratic twists by: -4 8 -3 5 |