Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856v |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
243828803882106432 = 26 · 315 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2583417,1598055640] |
[a1,a2,a3,a4,a6] |
Generators |
[326207:-393588:343] |
Generators of the group modulo torsion |
j |
40869539953013031616/5226097476897 |
j-invariant |
L |
4.8055925073082 |
L(r)(E,1)/r! |
Ω |
0.300822112309 |
Real period |
R |
7.9874322909026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856ba1 107712es2 17952j1 |
Quadratic twists by: -4 8 -3 |