Atkin-Lehner |
3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689t |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-291505999195257 = -1 · 3 · 72 · 119 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15667,325458] |
[a1,a2,a3,a4,a6] |
j |
180362125/123627 |
j-invariant |
L |
0.69044053887969 |
L(r)(E,1)/r! |
Ω |
0.34522028923088 |
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 |
73689v2 |
Quadratic twists by: -11 |