Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792c |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-6556273969824293616 = -1 · 24 · 33 · 119 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1271992,566172301] |
[a1,a2,a3,a4,a6] |
Generators |
[686:3993:1] |
Generators of the group modulo torsion |
j |
-6032857180928/173781261 |
j-invariant |
L |
2.2953296564451 |
L(r)(E,1)/r! |
Ω |
0.23662250779178 |
Real period |
R |
2.4250964939053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66792s1 |
Quadratic twists by: -11 |