Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361cf |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9461760 |
Modular degree for the optimal curve |
Δ |
1.8541420938246E+23 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11- -4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15065589,8797048510] |
[a1,a2,a3,a4,a6] |
j |
495616/243 |
j-invariant |
L |
0.35898029363554 |
L(r)(E,1)/r! |
Ω |
0.089745073986385 |
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 |
17787j1 53361cd1 53361bx1 |
Quadratic twists by: -3 -7 -11 |