Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300p |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3259872000 = -1 · 28 · 33 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 0 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120,-2700] |
[a1,a2,a3,a4,a6] |
j |
221184/3773 |
j-invariant |
L |
2.7603129730133 |
L(r)(E,1)/r! |
Ω |
0.69007823958816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69300m1 69300v1 |
Quadratic twists by: -3 5 |