Atkin-Lehner |
2+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9752c |
Isogeny class |
Conductor |
9752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-1248256 = -1 · 210 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ 2 -3 2 4 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,-964] |
[a1,a2,a3,a4,a6] |
Generators |
[462:584:27] |
Generators of the group modulo torsion |
j |
-768400132/1219 |
j-invariant |
L |
5.5989967027898 |
L(r)(E,1)/r! |
Ω |
0.6409359364958 |
Real period |
R |
4.3678286580413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19504c1 78016h1 87768i1 |
Quadratic twists by: -4 8 -3 |