Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bz |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-55261869605213832 = -1 · 23 · 36 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34220,11578231] |
[a1,a2,a3,a4,a6] |
Generators |
[-2114:12691:8] |
Generators of the group modulo torsion |
j |
-77625/968 |
j-invariant |
L |
11.267974762761 |
L(r)(E,1)/r! |
Ω |
0.30006387597621 |
Real period |
R |
2.0862177938799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638g1 104742bk1 |
Quadratic twists by: -3 -23 |