Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726r |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
4822129152 = 29 · 33 · 173 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-431,-713] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:56:1] |
Generators of the group modulo torsion |
j |
327225205971/178597376 |
j-invariant |
L |
7.6971708793145 |
L(r)(E,1)/r! |
Ω |
1.1188611721382 |
Real period |
R |
0.12739757623047 |
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 |
21726d1 |
Quadratic twists by: -3 |