Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bg |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-6144012000000 = -1 · 28 · 36 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28668,-1872092] |
[a1,a2,a3,a4,a6] |
Generators |
[209:1125:1] |
Generators of the group modulo torsion |
j |
-13962024825856/32921875 |
j-invariant |
L |
6.4959559509725 |
L(r)(E,1)/r! |
Ω |
0.18342513976469 |
Real period |
R |
2.2134220417932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12040b1 |
Quadratic twists by: -3 |