Atkin-Lehner |
7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6853c |
Isogeny class |
Conductor |
6853 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-47971 = -1 · 72 · 11 · 89 |
Discriminant |
Eigenvalues |
2 0 -3 7+ 11+ -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59,-175] |
[a1,a2,a3,a4,a6] |
j |
-22713274368/47971 |
j-invariant |
L |
1.7223903783256 |
L(r)(E,1)/r! |
Ω |
0.86119518916282 |
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 |
109648z1 61677j1 47971f1 75383i1 |
Quadratic twists by: -4 -3 -7 -11 |