Atkin-Lehner |
3+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103443b |
Isogeny class |
Conductor |
103443 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-260986689 = -1 · 32 · 294 · 41 |
Discriminant |
Eigenvalues |
1 3+ -1 -4 3 -4 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,-10071] |
[a1,a2,a3,a4,a6] |
Generators |
[40:127:1] |
Generators of the group modulo torsion |
j |
-98942809/369 |
j-invariant |
L |
3.5704420954416 |
L(r)(E,1)/r! |
Ω |
0.44089471992764 |
Real period |
R |
4.0490869401071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103443e1 |
Quadratic twists by: 29 |