Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675h |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6882801440712890625 = 32 · 510 · 238 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-476375,8925000] |
[a1,a2,a3,a4,a6] |
j |
5168743489/2975625 |
j-invariant |
L |
3.6285330645041 |
L(r)(E,1)/r! |
Ω |
0.20158517024982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119025bk2 7935k2 1725d2 |
Quadratic twists by: -3 5 -23 |