Atkin-Lehner |
2+ 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62320j |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-27304835068640000 = -1 · 28 · 54 · 195 · 413 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 2 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96425,14033125] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1805:1] |
Generators of the group modulo torsion |
j |
-387308647257865216/106659511986875 |
j-invariant |
L |
6.276756499527 |
L(r)(E,1)/r! |
Ω |
0.35596264205109 |
Real period |
R |
0.88165944375211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31160c1 |
Quadratic twists by: -4 |