Atkin-Lehner |
2+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832j |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-14328037376 = -1 · 215 · 173 · 89 |
Discriminant |
Eigenvalues |
2+ 3 -3 -2 6 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-844,-11056] |
[a1,a2,a3,a4,a6] |
j |
-2029089096/437257 |
j-invariant |
L |
5.253987781752 |
L(r)(E,1)/r! |
Ω |
0.43783231044545 |
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 |
96832k1 48416n1 |
Quadratic twists by: -4 8 |