Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bf |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1867706542968750 = 2 · 38 · 512 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-506642,138914291] |
[a1,a2,a3,a4,a6] |
Generators |
[3518:6287:8] |
Generators of the group modulo torsion |
j |
19728721786876330969/2562011718750 |
j-invariant |
L |
10.121857317068 |
L(r)(E,1)/r! |
Ω |
0.45160688987357 |
Real period |
R |
3.7354970823935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490i3 |
Quadratic twists by: -3 |