Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770z |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-611653236480 = -1 · 28 · 32 · 5 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,841,36506] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:172:1] |
Generators of the group modulo torsion |
j |
13651919/126720 |
j-invariant |
L |
5.4047365736029 |
L(r)(E,1)/r! |
Ω |
0.67087355275449 |
Real period |
R |
2.0140667907956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330b1 |
Quadratic twists by: 13 |