Atkin-Lehner |
2+ 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158u |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12702753841105692 = -1 · 22 · 318 · 7 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32004,4946620] |
[a1,a2,a3,a4,a6] |
j |
4972803928432703/17424902388348 |
j-invariant |
L |
2.2674544496367 |
L(r)(E,1)/r! |
Ω |
0.28343180727614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386s3 |
Quadratic twists by: -3 |