Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675b |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
286491332416078125 = 35 · 56 · 7 · 476 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-172725,9940500] |
[a1,a2,a3,a4,a6] |
j |
36473145476813137/18335445274629 |
j-invariant |
L |
0.54535588797857 |
L(r)(E,1)/r! |
Ω |
0.27267794398936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74025y2 987e2 |
Quadratic twists by: -3 5 |