Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361ce |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17031168 |
Modular degree for the optimal curve |
Δ |
5.4960434163863E+24 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-79632399,-249176053800] |
[a1,a2,a3,a4,a6] |
j |
25104437248/2470629 |
j-invariant |
L |
0.81374463630545 |
L(r)(E,1)/r! |
Ω |
0.050859039621539 |
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 |
17787z1 7623k1 53361bw1 |
Quadratic twists by: -3 -7 -11 |