Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bm |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
1.5647905787737E+22 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28943500,59631248976] |
[a1,a2,a3,a4,a6] |
Generators |
[1552:135828:1] |
Generators of the group modulo torsion |
j |
81832707153184078125000/477536187369908051 |
j-invariant |
L |
6.6014845006569 |
L(r)(E,1)/r! |
Ω |
0.12484475491808 |
Real period |
R |
1.2589892405619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999500022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344h2 56672x2 |
Quadratic twists by: -4 8 |