Atkin-Lehner |
3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185f |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3178381073378293125 = -1 · 35 · 54 · 77 · 714 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,315878,51978109] |
[a1,a2,a3,a4,a6] |
j |
29627258213509991/27015793363125 |
j-invariant |
L |
0.65898448641888 |
L(r)(E,1)/r! |
Ω |
0.16474612163841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7455d4 |
Quadratic twists by: -7 |