Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21736g |
Isogeny class |
Conductor |
21736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
36168704 = 210 · 11 · 132 · 19 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 11- 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104,256] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:26:1] |
Generators of the group modulo torsion |
j |
122657188/35321 |
j-invariant |
L |
2.5137764415782 |
L(r)(E,1)/r! |
Ω |
1.9152855092578 |
Real period |
R |
1.3124813138446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43472f1 |
Quadratic twists by: -4 |