Atkin-Lehner |
2- 3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bh |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1024000 |
Modular degree for the optimal curve |
Δ |
-17388331583880096 = -1 · 25 · 38 · 75 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24197,-6501603] |
[a1,a2,a3,a4,a6] |
Generators |
[275:2616:1] |
Generators of the group modulo torsion |
j |
-2149136156304649/23852306699424 |
j-invariant |
L |
12.981272724071 |
L(r)(E,1)/r! |
Ω |
0.16557056013413 |
Real period |
R |
1.9600816599243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126a1 |
Quadratic twists by: -3 |