Atkin-Lehner |
2+ 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56232a |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
11806020864 = 28 · 310 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11+ -5 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1092,12868] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:162:1] [-16:162:1] |
Generators of the group modulo torsion |
j |
771656704/63261 |
j-invariant |
L |
10.115025211308 |
L(r)(E,1)/r! |
Ω |
1.2415956340855 |
Real period |
R |
0.50917469291217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464k1 18744l1 |
Quadratic twists by: -4 -3 |