Atkin-Lehner |
2+ 11+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
64328d |
Isogeny class |
Conductor |
64328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
2187152 = 24 · 11 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 11+ 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188,-1055] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1:1] [16:17:1] |
Generators of the group modulo torsion |
j |
46172704000/136697 |
j-invariant |
L |
7.3933701444174 |
L(r)(E,1)/r! |
Ω |
1.2889766396893 |
Real period |
R |
1.4339612365296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128656i1 |
Quadratic twists by: -4 |