Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800f |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
79625000000 = 26 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13658,-609688] |
[a1,a2,a3,a4,a6] |
Generators |
[8994:152000:27] |
Generators of the group modulo torsion |
j |
281784327616/79625 |
j-invariant |
L |
8.8788981231596 |
L(r)(E,1)/r! |
Ω |
0.44162890676393 |
Real period |
R |
5.0262211033932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bt1 14560m1 |
Quadratic twists by: -4 5 |