Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cz |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-49454448000000000 = -1 · 213 · 3 · 59 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55592,-9416812] |
[a1,a2,a3,a4,a6] |
Generators |
[394659508:16597257750:226981] |
Generators of the group modulo torsion |
j |
296874449711/772725750 |
j-invariant |
L |
9.8955398480875 |
L(r)(E,1)/r! |
Ω |
0.18383851303943 |
Real period |
R |
13.456837355862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150b2 24240s2 |
Quadratic twists by: -4 5 |