Atkin-Lehner |
3+ 7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987d |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
168105363561986193 = 39 · 72 · 193 · 714 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -2 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143682,-7057225] |
[a1,a2,a3,a4,a6] |
j |
16666377464437875/8540637278971 |
j-invariant |
L |
3.1089641244206 |
L(r)(E,1)/r! |
Ω |
0.25908033726571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84987b1 |
Quadratic twists by: -3 |