Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18400a |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
330625000000 = 26 · 510 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4825,-126000] |
[a1,a2,a3,a4,a6] |
Generators |
[-86372:118854:2197] |
Generators of the group modulo torsion |
j |
12422690496/330625 |
j-invariant |
L |
4.975630090409 |
L(r)(E,1)/r! |
Ω |
0.57376060863137 |
Real period |
R |
8.6719618174515 |
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 |
18400e1 36800bw2 3680g1 |
Quadratic twists by: -4 8 5 |