Atkin-Lehner |
5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
11725c |
Isogeny class |
Conductor |
11725 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
17594828125 = 56 · 75 · 67 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 0 1 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1988,-34344] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:37:1] |
Generators of the group modulo torsion |
j |
55611739513/1126069 |
j-invariant |
L |
2.4946224999725 |
L(r)(E,1)/r! |
Ω |
0.71586124891064 |
Real period |
R |
0.69695698817855 |
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 |
105525bc1 469a1 82075f1 |
Quadratic twists by: -3 5 -7 |