Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361i |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41184 |
Modular degree for the optimal curve |
Δ |
-283596799563 = -1 · 33 · 72 · 118 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-25622] |
[a1,a2,a3,a4,a6] |
Generators |
[242:359:8] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.2586318550548 |
L(r)(E,1)/r! |
Ω |
0.44729795862101 |
Real period |
R |
1.5867990500681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361i2 53361a1 53361h1 |
Quadratic twists by: -3 -7 -11 |