Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880de |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
47180413440000 = 212 · 38 · 54 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12281,402375] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:600:1] |
Generators of the group modulo torsion |
j |
50015005499584/11518655625 |
j-invariant |
L |
7.5677071143785 |
L(r)(E,1)/r! |
Ω |
0.59962513676007 |
Real period |
R |
1.5775912838003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999688 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50880bw2 25440bd1 |
Quadratic twists by: -4 8 |