Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280s |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-9.3560832E+18 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 -5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6700376,6675089940] |
[a1,a2,a3,a4,a6] |
j |
-8121969458732291369689/2284200000000000 |
j-invariant |
L |
2.2527450652401 |
L(r)(E,1)/r! |
Ω |
0.22527450652401 |
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 |
1410a1 45120cd1 33840ce1 56400be1 |
Quadratic twists by: -4 8 -3 5 |