Atkin-Lehner |
2+ 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
96560c |
Isogeny class |
Conductor |
96560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
87744890828800 = 211 · 52 · 176 · 71 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 -4 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18043,-816758] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:290:1] [-79:340:1] |
Generators of the group modulo torsion |
j |
317190379977378/42844184975 |
j-invariant |
L |
6.0343129711169 |
L(r)(E,1)/r! |
Ω |
0.41561269541981 |
Real period |
R |
0.30248078301045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48280d1 |
Quadratic twists by: -4 |