Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bj |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-22406345712 = -1 · 24 · 36 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4005,-97821] |
[a1,a2,a3,a4,a6] |
j |
-609093216000/1920983 |
j-invariant |
L |
1.2000432614844 |
L(r)(E,1)/r! |
Ω |
0.30001081499532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14076g1 6256g1 |
Quadratic twists by: -4 -3 |