Atkin-Lehner |
3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8325q |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
576969328125 = 36 · 56 · 373 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5250,141781] |
[a1,a2,a3,a4,a6] |
j |
1404928000/50653 |
j-invariant |
L |
1.8255804502384 |
L(r)(E,1)/r! |
Ω |
0.9127902251192 |
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 |
925b2 333a2 |
Quadratic twists by: -3 5 |