Atkin-Lehner |
2+ 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560q |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5616496032000 = 28 · 3 · 53 · 75 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33613980,75000325728] |
[a1,a2,a3,a4,a6] |
j |
16407543779463271436809936/21939437625 |
j-invariant |
L |
4.1011825529266 |
L(r)(E,1)/r! |
Ω |
0.34176521266828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120n2 |
Quadratic twists by: -4 |