Atkin-Lehner |
3- 7+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987j |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29880 |
Modular degree for the optimal curve |
Δ |
-6883947 = -1 · 36 · 7 · 19 · 71 |
Discriminant |
Eigenvalues |
-2 3- 4 7+ 4 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,126] |
[a1,a2,a3,a4,a6] |
j |
-4096/9443 |
j-invariant |
L |
1.9010922152336 |
L(r)(E,1)/r! |
Ω |
1.9010922390682 |
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 |
9443b1 |
Quadratic twists by: -3 |