Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600do |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-784000000000 = -1 · 213 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,-43750] |
[a1,a2,a3,a4,a6] |
j |
-189/2 |
j-invariant |
L |
1.5228759639905 |
L(r)(E,1)/r! |
Ω |
0.38071899099763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450be1 78400kd1 19600dp1 19600df1 |
Quadratic twists by: -4 8 5 -7 |