Atkin-Lehner |
2+ 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642p |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-381599598431784096 = -1 · 25 · 320 · 73 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -6 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25389,-29755323] |
[a1,a2,a3,a4,a6] |
Generators |
[18291:429221:27] |
Generators of the group modulo torsion |
j |
-2482804892222929/523456239275424 |
j-invariant |
L |
4.138655653547 |
L(r)(E,1)/r! |
Ω |
0.13424681674847 |
Real period |
R |
7.7071765127975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214ba1 |
Quadratic twists by: -3 |