Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cw |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
4.5524369616987E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12267648,-12970735092] |
[a1,a2,a3,a4,a6] |
Generators |
[-12006:363285:8] |
Generators of the group modulo torsion |
j |
3190271850747360131752/711318275265415689 |
j-invariant |
L |
7.5299670318461 |
L(r)(E,1)/r! |
Ω |
0.081954760397495 |
Real period |
R |
1.7669145465425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200bx2 110400hf2 55200q2 |
Quadratic twists by: -4 8 5 |