Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6897c |
Isogeny class |
Conductor |
6897 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-800852127867 = -1 · 35 · 113 · 195 |
Discriminant |
Eigenvalues |
0 3- 2 0 11+ -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7817,-272101] |
[a1,a2,a3,a4,a6] |
Generators |
[337:5956:1] |
Generators of the group modulo torsion |
j |
-39693696892928/601692057 |
j-invariant |
L |
4.4531427799838 |
L(r)(E,1)/r! |
Ω |
0.25363760614533 |
Real period |
R |
0.3511421549557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352s1 20691k1 6897b1 |
Quadratic twists by: -4 -3 -11 |