Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dc |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
225 |
Product of Tamagawa factors cp |
Δ |
-1.0764555908203E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2374600,1417045832] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:47048:1] |
Generators of the group modulo torsion |
j |
-2799235530137373837169/20348876953125000 |
j-invariant |
L |
14.471239074486 |
L(r)(E,1)/r! |
Ω |
0.2290250774981 |
Real period |
R |
0.2808278402858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090cs2 |
Quadratic twists by: -23 |