Atkin-Lehner |
2- 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bp |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
182882304000000 = 218 · 32 · 56 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18988,760781] |
[a1,a2,a3,a4,a6] |
Generators |
[685:-17943:1] [-151:537:1] |
Generators of the group modulo torsion |
j |
48455467135993/11704467456 |
j-invariant |
L |
12.183967184932 |
L(r)(E,1)/r! |
Ω |
0.5343225751068 |
Real period |
R |
0.31670338170387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706e1 |
Quadratic twists by: 5 |