Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825ck |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-136004916796875 = -1 · 39 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-34708,2539744] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:-2138:1] |
Generators of the group modulo torsion |
j |
-241584394240/7105563 |
j-invariant |
L |
3.0835268459238 |
L(r)(E,1)/r! |
Ω |
0.58104110105347 |
Real period |
R |
0.09827592044696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69825x1 69825bc1 |
Quadratic twists by: 5 -7 |