Atkin-Lehner |
2+ 3+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21942b |
Isogeny class |
Conductor |
21942 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
169280 |
Modular degree for the optimal curve |
Δ |
-77262492442558464 = -1 · 223 · 33 · 235 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 -1 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,98910,-5982316] |
[a1,a2,a3,a4,a6] |
Generators |
[415:10108:1] |
Generators of the group modulo torsion |
j |
3963492892418562693/2861573794168832 |
j-invariant |
L |
4.068772439814 |
L(r)(E,1)/r! |
Ω |
0.19322540104047 |
Real period |
R |
2.1057130262919 |
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 |
21942d1 |
Quadratic twists by: -3 |