Atkin-Lehner |
3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675p |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8208085798828125 = -1 · 36 · 59 · 78 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -6 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8549,-4347577] |
[a1,a2,a3,a4,a6] |
j |
300763/35721 |
j-invariant |
L |
2.3553042274658 |
L(r)(E,1)/r! |
Ω |
0.19627535228881 |
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 |
58800ho2 11025bn2 3675h2 525c2 |
Quadratic twists by: -4 -3 5 -7 |