Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25284d |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-10441584048 = -1 · 24 · 3 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653,8310] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-43:1] [-2:98:1] |
Generators of the group modulo torsion |
j |
-16384000/5547 |
j-invariant |
L |
6.717712871876 |
L(r)(E,1)/r! |
Ω |
1.2118162118897 |
Real period |
R |
0.92391800092634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136ce1 75852i1 516c1 |
Quadratic twists by: -4 -3 -7 |