Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792p |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-15683587015536 = -1 · 24 · 37 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11- -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3348,-174231] |
[a1,a2,a3,a4,a6] |
Generators |
[216:3267:1] |
Generators of the group modulo torsion |
j |
146377472/553311 |
j-invariant |
L |
6.2040292775281 |
L(r)(E,1)/r! |
Ω |
0.35458962176299 |
Real period |
R |
0.31243508070945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6072k1 |
Quadratic twists by: -11 |