Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600by |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-7378945280000000 = -1 · 214 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 2 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2581075,-1596064750] |
[a1,a2,a3,a4,a6] |
j |
-5154200289/20 |
j-invariant |
L |
5.9555147119889 |
L(r)(E,1)/r! |
Ω |
0.059555147119889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450c1 78400go1 3920t1 19600db1 |
Quadratic twists by: -4 8 5 -7 |