Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834d |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-373628448 = -1 · 25 · 32 · 172 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,99,856] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:26:1] |
Generators of the group modulo torsion |
j |
108872984375/373628448 |
j-invariant |
L |
3.0943930972234 |
L(r)(E,1)/r! |
Ω |
1.2014171282232 |
Real period |
R |
1.2878096310312 |
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 |
54672i2 20502be2 116178b2 |
Quadratic twists by: -4 -3 17 |