Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158w |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
953616365712 = 24 · 38 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -6 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8807,316815] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:744:1] |
Generators of the group modulo torsion |
j |
103617698471209/1308115728 |
j-invariant |
L |
4.0704691685308 |
L(r)(E,1)/r! |
Ω |
0.88468314390372 |
Real period |
R |
0.38342062509236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264bu1 4386d1 |
Quadratic twists by: -4 -3 |