Atkin-Lehner |
2- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21476d |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
85904 = 24 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 0 1 7- -1 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
33958656/5369 |
j-invariant |
L |
5.4249196730018 |
L(r)(E,1)/r! |
Ω |
2.3762673800285 |
Real period |
R |
0.76098614695691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904k1 |
Quadratic twists by: -4 |