Atkin-Lehner |
3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921j |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-515104391043 = -1 · 33 · 118 · 89 |
Discriminant |
Eigenvalues |
2 3+ 0 4 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1815,-45587] |
[a1,a2,a3,a4,a6] |
Generators |
[2080328:132598277:512] |
Generators of the group modulo torsion |
j |
-13824000/10769 |
j-invariant |
L |
16.879657413445 |
L(r)(E,1)/r! |
Ω |
0.35384697740168 |
Real period |
R |
11.925817152303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96921e1 8811a1 |
Quadratic twists by: -3 -11 |