Atkin-Lehner |
2+ 3- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194l |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
12097352592 = 24 · 36 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-588,-1478] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:63:1] [-146:525:8] |
Generators of the group modulo torsion |
j |
22428153804601/12097352592 |
j-invariant |
L |
5.14775440804 |
L(r)(E,1)/r! |
Ω |
1.0328224136931 |
Real period |
R |
0.41534684793435 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75582bh1 |
Quadratic twists by: -3 |