Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350cy |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1102042968750 = -1 · 2 · 38 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 0 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1805,58947] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:2295:8] |
Generators of the group modulo torsion |
j |
-456533/774 |
j-invariant |
L |
6.3952900261489 |
L(r)(E,1)/r! |
Ω |
0.77969246784908 |
Real period |
R |
2.0505809308994 |
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 |
6450j1 19350bk1 |
Quadratic twists by: -3 5 |