Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720d |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1212472800000 = -1 · 28 · 39 · 55 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8508,-306668] |
[a1,a2,a3,a4,a6] |
j |
-364954448896/6496875 |
j-invariant |
L |
1.9862958747915 |
L(r)(E,1)/r! |
Ω |
0.24828698434894 |
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 |
55440w1 9240bi1 |
Quadratic twists by: -4 -3 |