Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bl |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
373732403237093376 = 234 · 37 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407244,95607920] |
[a1,a2,a3,a4,a6] |
Generators |
[28520:477108:125] |
Generators of the group modulo torsion |
j |
39085920587953/1955659776 |
j-invariant |
L |
8.6069347659512 |
L(r)(E,1)/r! |
Ω |
0.29762558243626 |
Real period |
R |
7.229666414034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928es1 3654f1 38976e1 |
Quadratic twists by: -4 8 -3 |