Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168ch |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-56151866682114048 = -1 · 220 · 35 · 195 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 1 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-366144,-86156748] |
[a1,a2,a3,a4,a6] |
Generators |
[1188:34014:1] |
Generators of the group modulo torsion |
j |
-1325319889265948737/13708951826688 |
j-invariant |
L |
5.5923487217473 |
L(r)(E,1)/r! |
Ω |
0.09698145376664 |
Real period |
R |
5.7664104919047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146k1 |
Quadratic twists by: -4 |