Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6825c |
Isogeny class |
Conductor |
6825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
106640625 = 3 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3563,-83344] |
[a1,a2,a3,a4,a6] |
j |
320153881321/6825 |
j-invariant |
L |
1.2358777553573 |
L(r)(E,1)/r! |
Ω |
0.61793887767864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ff1 20475x1 1365f1 47775cs1 |
Quadratic twists by: -4 -3 5 -7 |