Atkin-Lehner |
2+ 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834b |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.4798696190992E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-489558235,4168973421697] |
[a1,a2,a3,a4,a6] |
Generators |
[12807:-5596:1] |
Generators of the group modulo torsion |
j |
12975879223872949671404117997625/147986961909920541988812 |
j-invariant |
L |
2.8072868954575 |
L(r)(E,1)/r! |
Ω |
0.093425236257715 |
Real period |
R |
5.0080809852304 |
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 |
54672bf2 20502ba2 116178l2 |
Quadratic twists by: -4 -3 17 |