Atkin-Lehner |
2- 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194y |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
58391610367238928 = 24 · 36 · 138 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131287,14133977] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:3887:1] |
Generators of the group modulo torsion |
j |
250258647076689384433/58391610367238928 |
j-invariant |
L |
9.6646127151176 |
L(r)(E,1)/r! |
Ω |
0.33104204402569 |
Real period |
R |
1.2164382250853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75582m1 |
Quadratic twists by: -3 |