Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720bj |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-8732321347796992000 = -1 · 244 · 53 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184067,-145387774] |
[a1,a2,a3,a4,a6] |
Generators |
[313508:21844395:64] |
Generators of the group modulo torsion |
j |
-168380411424176601/2131914391552000 |
j-invariant |
L |
5.2206431594938 |
L(r)(E,1)/r! |
Ω |
0.098936921177677 |
Real period |
R |
8.7945650914928 |
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 |
2090f1 66880bz1 83600bx1 |
Quadratic twists by: -4 8 5 |