Atkin-Lehner |
3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
96387a |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
258400 |
Modular degree for the optimal curve |
Δ |
-86157615306993 = -1 · 3 · 199 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 0 3 1 5 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16433,918824] |
[a1,a2,a3,a4,a6] |
j |
-1520875/267 |
j-invariant |
L |
1.165373377614 |
L(r)(E,1)/r! |
Ω |
0.58268672806663 |
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 |
96387g1 |
Quadratic twists by: -19 |