Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742r |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-55257309432 = -1 · 23 · 33 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 3 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10228,397448] |
[a1,a2,a3,a4,a6] |
Generators |
[14:500:1] |
Generators of the group modulo torsion |
j |
-24515367625/11448 |
j-invariant |
L |
9.9692860802503 |
L(r)(E,1)/r! |
Ω |
1.1013820488394 |
Real period |
R |
0.50286749022592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318b1 |
Quadratic twists by: 13 |