Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bz |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
41208421552128 = 212 · 36 · 173 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12195,-416286] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:306:1] |
Generators of the group modulo torsion |
j |
67170974625/13800617 |
j-invariant |
L |
4.6495380702385 |
L(r)(E,1)/r! |
Ω |
0.46087465393519 |
Real period |
R |
0.84070907742959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8109k1 14416c1 |
Quadratic twists by: -4 -3 |