Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350be |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-43294832000000 = -1 · 210 · 56 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12480,626147] |
[a1,a2,a3,a4,a6] |
Generators |
[65:261:1] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
8.9398931371888 |
L(r)(E,1)/r! |
Ω |
0.61473537657447 |
Real period |
R |
1.4542669053729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254c1 1150e1 |
Quadratic twists by: 5 -7 |