Atkin-Lehner |
2+ 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
57936b |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-827136976896 = -1 · 211 · 39 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,128,43796] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-918:1] [38:324:1] |
Generators of the group modulo torsion |
j |
112363774/403875477 |
j-invariant |
L |
8.8666447105085 |
L(r)(E,1)/r! |
Ω |
0.70116035119277 |
Real period |
R |
0.1756343509613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28968g1 |
Quadratic twists by: -4 |