Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544n |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-47175913036578816 = -1 · 223 · 39 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 3 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89748,1451952] |
[a1,a2,a3,a4,a6] |
j |
15494117157/9143008 |
j-invariant |
L |
4.3577554395344 |
L(r)(E,1)/r! |
Ω |
0.21788777186468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544ct1 2142m1 68544t1 |
Quadratic twists by: -4 8 -3 |