Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6825h |
Isogeny class |
Conductor |
6825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
790408262109375 = 33 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1171251,487791523] |
[a1,a2,a3,a4,a6] |
j |
11372424889583066401/50586128775 |
j-invariant |
L |
2.665050408329 |
L(r)(E,1)/r! |
Ω |
0.44417506805484 |
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 |
109200dt4 20475s3 1365b4 47775p4 |
Quadratic twists by: -4 -3 5 -7 |