Atkin-Lehner |
3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46827b |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-16493337432099 = -1 · 39 · 117 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 3 -5 11- 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,-194642] |
[a1,a2,a3,a4,a6] |
j |
9261/473 |
j-invariant |
L |
1.3310032766136 |
L(r)(E,1)/r! |
Ω |
0.33275081911002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827a1 4257b1 |
Quadratic twists by: -3 -11 |