Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792q |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
999618912331776 = 211 · 32 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11+ -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2049296,1129841484] |
[a1,a2,a3,a4,a6] |
j |
197094217318/207 |
j-invariant |
L |
1.6607635978871 |
L(r)(E,1)/r! |
Ω |
0.41519090099412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66792a1 |
Quadratic twists by: -11 |