Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744by |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
14968495712305152 = 216 · 314 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324435,70883858] |
[a1,a2,a3,a4,a6] |
Generators |
[-569:8442:1] |
Generators of the group modulo torsion |
j |
1264792655148625/5012918928 |
j-invariant |
L |
7.9813932733434 |
L(r)(E,1)/r! |
Ω |
0.39600676031633 |
Real period |
R |
5.0386723987774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999268333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16218j1 43248l1 |
Quadratic twists by: -4 -3 |