Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cz |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-272384000 = -1 · 214 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -2 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-462848,121046708] |
[a1,a2,a3,a4,a6] |
Generators |
[10596:-10:27] |
Generators of the group modulo torsion |
j |
-21417553667311829/532 |
j-invariant |
L |
5.6714538317499 |
L(r)(E,1)/r! |
Ω |
0.91257742166565 |
Real period |
R |
1.5536911436465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bi1 53200dr1 |
Quadratic twists by: -4 5 |