Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6825j |
Isogeny class |
Conductor |
6825 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-24788857850859375 = -1 · 320 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29912,7311167] |
[a1,a2,a3,a4,a6] |
Generators |
[38:2897:1] |
Generators of the group modulo torsion |
j |
189425802193991/1586486902455 |
j-invariant |
L |
3.1808664773633 |
L(r)(E,1)/r! |
Ω |
0.27630513641818 |
Real period |
R |
1.1512151089906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ct3 20475w4 1365a4 47775q3 |
Quadratic twists by: -4 -3 5 -7 |