Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156ba |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
480661776 = 24 · 36 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 5 2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,-1379] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:13:1] |
Generators of the group modulo torsion |
j |
3937024/841 |
j-invariant |
L |
6.4219966029748 |
L(r)(E,1)/r! |
Ω |
1.1922885328053 |
Real period |
R |
2.693138626359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684e1 51156j1 |
Quadratic twists by: -3 -7 |