Atkin-Lehner |
3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921y |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576576 |
Modular degree for the optimal curve |
Δ |
-375511101070347 = -1 · 39 · 118 · 89 |
Discriminant |
Eigenvalues |
-2 3- 0 -4 11- 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19965,-1431158] |
[a1,a2,a3,a4,a6] |
j |
-5632000/2403 |
j-invariant |
L |
1.180337470516 |
L(r)(E,1)/r! |
Ω |
0.19672288928814 |
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 |
32307a1 96921x1 |
Quadratic twists by: -3 -11 |