Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cg |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16727040 |
Modular degree for the optimal curve |
Δ |
-6.206866630962E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99974377,402983038745] |
[a1,a2,a3,a4,a6] |
Generators |
[1152670805084913535930:-736172854996610425477955:1309291907950655803] |
Generators of the group modulo torsion |
j |
-46865760129834695603/2632317355746624 |
j-invariant |
L |
13.798644706074 |
L(r)(E,1)/r! |
Ω |
0.074435223000204 |
Real period |
R |
30.896315278429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066bb1 |
Quadratic twists by: -11 |