Atkin-Lehner |
2- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38950z |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
63815680000 = 217 · 54 · 19 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9663,361381] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:802:1] [55:-18:1] |
Generators of the group modulo torsion |
j |
159654969959425/102105088 |
j-invariant |
L |
10.398893607824 |
L(r)(E,1)/r! |
Ω |
1.0930499116573 |
Real period |
R |
0.18654214458887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38950f1 |
Quadratic twists by: 5 |