Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56232j |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
106254187776 = 28 · 312 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11+ -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1236,5812] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-486:1] |
Generators of the group modulo torsion |
j |
1118952448/569349 |
j-invariant |
L |
7.0962183155367 |
L(r)(E,1)/r! |
Ω |
0.93478011115283 |
Real period |
R |
0.94891544957707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464n1 18744d1 |
Quadratic twists by: -4 -3 |