Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3525g |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
310640625 = 32 · 56 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1175,15000] |
[a1,a2,a3,a4,a6] |
j |
11497268593/19881 |
j-invariant |
L |
1.7217329326397 |
L(r)(E,1)/r! |
Ω |
1.7217329326397 |
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 |
56400ck2 10575h2 141c2 |
Quadratic twists by: -4 -3 5 |