Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ld |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1686616064000 = -1 · 214 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 3 -1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7840,274400] |
[a1,a2,a3,a4,a6] |
j |
-221184/7 |
j-invariant |
L |
6.6955088565532 |
L(r)(E,1)/r! |
Ω |
0.83693861282788 |
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 |
78400fu1 19600ee1 78400lk1 11200di1 |
Quadratic twists by: -4 8 5 -7 |