Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81498i |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-22338927792 = -1 · 24 · 37 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 0 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-355,-7666] |
[a1,a2,a3,a4,a6] |
Generators |
[91:800:1] |
Generators of the group modulo torsion |
j |
-17051051017/77297328 |
j-invariant |
L |
6.5220573697778 |
L(r)(E,1)/r! |
Ω |
0.49902428112675 |
Real period |
R |
0.46677211754527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81498e1 |
Quadratic twists by: 17 |