Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dr |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-4256000000000 = -1 · 214 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -2 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11571208,15153980912] |
[a1,a2,a3,a4,a6] |
j |
-21417553667311829/532 |
j-invariant |
L |
1.6324681191511 |
L(r)(E,1)/r! |
Ω |
0.40811702991518 |
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 |
6650l1 53200cz1 |
Quadratic twists by: -4 5 |