Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18200b |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
936780162500000000 = 28 · 511 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258508,-19682988] |
[a1,a2,a3,a4,a6] |
Generators |
[2908989308478:2416993541200:5350192749] |
Generators of the group modulo torsion |
j |
477625344356176/234195040625 |
j-invariant |
L |
6.860244421578 |
L(r)(E,1)/r! |
Ω |
0.22254236239072 |
Real period |
R |
15.413345009642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400k1 3640j1 127400n1 |
Quadratic twists by: -4 5 -7 |