Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bg |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-4.2551858947602E+19 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,734508,199298875] |
[a1,a2,a3,a4,a6] |
j |
98931640625/96059601 |
j-invariant |
L |
0.53401598751557 |
L(r)(E,1)/r! |
Ω |
0.13350399695676 |
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 |
17787i1 53361bf1 4851q1 |
Quadratic twists by: -3 -7 -11 |