Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180z |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
4640195808000 = 28 · 36 · 53 · 193 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -5 6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25767,-1588626] |
[a1,a2,a3,a4,a6] |
Generators |
[-766:215:8] |
Generators of the group modulo torsion |
j |
10137895047504/24863875 |
j-invariant |
L |
4.6395207326844 |
L(r)(E,1)/r! |
Ω |
0.37687523298058 |
Real period |
R |
4.1034983851245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11020a1 |
Quadratic twists by: -3 |