Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66792k |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
137700844210512 = 24 · 312 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41939,3243282] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-759:1] |
Generators of the group modulo torsion |
j |
383080673196032/6466042647 |
j-invariant |
L |
4.1202171593607 |
L(r)(E,1)/r! |
Ω |
0.58342138610819 |
Real period |
R |
0.19617120552183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66792bi1 |
Quadratic twists by: -11 |