Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592by |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-20400037825609728 = -1 · 228 · 312 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331347,-73733870] |
[a1,a2,a3,a4,a6] |
Generators |
[886006:1087182:1331] |
Generators of the group modulo torsion |
j |
-1347365318848849/6831931392 |
j-invariant |
L |
3.5629470935494 |
L(r)(E,1)/r! |
Ω |
0.099464268431861 |
Real period |
R |
8.9553443405414 |
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 |
2574k1 82368dw1 6864x1 |
Quadratic twists by: -4 8 -3 |