Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23650p |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-153925552000000000 = -1 · 213 · 59 · 112 · 433 |
Discriminant |
Eigenvalues |
2- 0 5- 5 11+ 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,125945,-7799553] |
[a1,a2,a3,a4,a6] |
Generators |
[219:-5610:1] |
Generators of the group modulo torsion |
j |
113120078568147/78809882624 |
j-invariant |
L |
9.1588666087062 |
L(r)(E,1)/r! |
Ω |
0.1833443616914 |
Real period |
R |
0.96066248529576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23650j1 |
Quadratic twists by: 5 |