Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bk |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-6305962295767816143 = -1 · 36 · 79 · 118 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,185652,-116876061] |
[a1,a2,a3,a4,a6] |
j |
4657463/41503 |
j-invariant |
L |
0.47154070838441 |
L(r)(E,1)/r! |
Ω |
0.1178851767422 |
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 |
5929g1 7623o1 4851k1 |
Quadratic twists by: -3 -7 -11 |