Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432k |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
106945594448 = 24 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2823,-56498] |
[a1,a2,a3,a4,a6] |
Generators |
[73:363:1] |
Generators of the group modulo torsion |
j |
256000/11 |
j-invariant |
L |
3.4098650109861 |
L(r)(E,1)/r! |
Ω |
0.6566900623942 |
Real period |
R |
1.2981257088585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94864t1 47432i1 4312j1 |
Quadratic twists by: -4 -7 -11 |