Atkin-Lehner |
3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
15399d |
Isogeny class |
Conductor |
15399 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
2646615088917 = 37 · 295 · 59 |
Discriminant |
Eigenvalues |
-2 3- 0 -1 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6105,-166082] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:13:1] [-47:130:1] |
Generators of the group modulo torsion |
j |
34518601216000/3630473373 |
j-invariant |
L |
3.6605620143675 |
L(r)(E,1)/r! |
Ω |
0.54377839695369 |
Real period |
R |
0.67317165133314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133a1 |
Quadratic twists by: -3 |