Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525cg |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-340019932546875 = -1 · 3 · 56 · 72 · 236 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 6 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2917,-884131] |
[a1,a2,a3,a4,a6] |
j |
3584000000/444107667 |
j-invariant |
L |
3.0695864264342 |
L(r)(E,1)/r! |
Ω |
0.25579886605197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381a2 84525f2 |
Quadratic twists by: 5 -7 |