Atkin-Lehner |
2+ 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834c |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-82008 = -1 · 23 · 32 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 -6 7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
94196375/82008 |
j-invariant |
L |
3.0259596953715 |
L(r)(E,1)/r! |
Ω |
2.2241188451284 |
Real period |
R |
0.68026034265196 |
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 |
54672bg1 20502bc1 116178m1 |
Quadratic twists by: -4 -3 17 |