Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bi |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
665959692388914000 = 24 · 37 · 53 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-365322,75375911] |
[a1,a2,a3,a4,a6] |
j |
462278484549842944/57095309704125 |
j-invariant |
L |
3.3272248636097 |
L(r)(E,1)/r! |
Ω |
0.27726873855142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720v1 18480c1 |
Quadratic twists by: -4 -3 |