Atkin-Lehner |
2- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105616x |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-37095718912 = -1 · 214 · 74 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,9408] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:102:1] |
Generators of the group modulo torsion |
j |
-244140625/9056572 |
j-invariant |
L |
10.965540861563 |
L(r)(E,1)/r! |
Ω |
0.962041221279 |
Real period |
R |
2.8495506820284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13202h1 |
Quadratic twists by: -4 |