Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106848ba |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-44952449472 = -1 · 26 · 36 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,711,7128] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:1340:27] |
Generators of the group modulo torsion |
j |
851971392/963487 |
j-invariant |
L |
8.5463181141482 |
L(r)(E,1)/r! |
Ω |
0.757030837233 |
Real period |
R |
5.6446300886513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848be1 11872a1 |
Quadratic twists by: -4 -3 |