Atkin-Lehner |
2- 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420j |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-15317164800 = -1 · 28 · 36 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -4 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3288,-72812] |
[a1,a2,a3,a4,a6] |
j |
-21064523776/82075 |
j-invariant |
L |
2.5213045170344 |
L(r)(E,1)/r! |
Ω |
0.31516307283175 |
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 |
9380b1 |
Quadratic twists by: -3 |