Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dx |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-198144000000000 = -1 · 218 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10792,525588] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:126:1] |
Generators of the group modulo torsion |
j |
17373979/24768 |
j-invariant |
L |
6.5675424892524 |
L(r)(E,1)/r! |
Ω |
0.38255557056547 |
Real period |
R |
4.2918878945616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450h1 51600cj1 |
Quadratic twists by: -4 5 |