Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200dk |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-68096000000000 = -1 · 218 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8792,241588] |
[a1,a2,a3,a4,a6] |
j |
9393931/8512 |
j-invariant |
L |
1.6132317255551 |
L(r)(E,1)/r! |
Ω |
0.40330793140915 |
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 |
6650m1 53200ea1 |
Quadratic twists by: -4 5 |