Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230en |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8.2254149873253E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28440347,-56716844929] |
[a1,a2,a3,a4,a6] |
Generators |
[55838:-2357173:8] |
Generators of the group modulo torsion |
j |
1969902499564819009/63690429687500 |
j-invariant |
L |
11.382567521374 |
L(r)(E,1)/r! |
Ω |
0.065505251240562 |
Real period |
R |
1.8100596428425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470f4 6930p4 |
Quadratic twists by: -3 -11 |