Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544bh |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-29847896064 = -1 · 214 · 37 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 5 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3216,70688] |
[a1,a2,a3,a4,a6] |
j |
-307981312/2499 |
j-invariant |
L |
4.7310868728287 |
L(r)(E,1)/r! |
Ω |
1.1827717201638 |
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 |
68544eo1 8568d1 22848j1 |
Quadratic twists by: -4 8 -3 |