Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834l |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
4030857216 = 217 · 33 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 5 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3471,77205] |
[a1,a2,a3,a4,a6] |
Generators |
[27:50:1] |
Generators of the group modulo torsion |
j |
4624825736604529/4030857216 |
j-invariant |
L |
5.4226547987252 |
L(r)(E,1)/r! |
Ω |
1.3812572677192 |
Real period |
R |
0.23093430999236 |
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 |
54672x1 20502t1 116178bp1 |
Quadratic twists by: -4 -3 17 |