Atkin-Lehner |
2- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9646d |
Isogeny class |
Conductor |
9646 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-224713216 = -1 · 29 · 72 · 132 · 53 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ -1 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27,721] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:25:1] [-6:29:1] |
Generators of the group modulo torsion |
j |
-2181825073/224713216 |
j-invariant |
L |
5.4404736157093 |
L(r)(E,1)/r! |
Ω |
1.4529485152701 |
Real period |
R |
0.10401212810692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77168m1 86814k1 67522s1 125398f1 |
Quadratic twists by: -4 -3 -7 13 |