Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880bl |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1374229144535040 = 227 · 36 · 5 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-871905,313070463] |
[a1,a2,a3,a4,a6] |
Generators |
[243:10752:1] |
Generators of the group modulo torsion |
j |
279635170382084089/5242268160 |
j-invariant |
L |
8.6879076176556 |
L(r)(E,1)/r! |
Ω |
0.44241839914463 |
Real period |
R |
1.6364425685498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880ct2 1590d2 |
Quadratic twists by: -4 8 |