Atkin-Lehner |
3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103443a |
Isogeny class |
Conductor |
103443 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
490000 |
Modular degree for the optimal curve |
Δ |
-5926224747123 = -1 · 35 · 296 · 41 |
Discriminant |
Eigenvalues |
2 3+ -4 -2 3 -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8690,335987] |
[a1,a2,a3,a4,a6] |
Generators |
[650:3193:8] |
Generators of the group modulo torsion |
j |
-122023936/9963 |
j-invariant |
L |
4.3120028473434 |
L(r)(E,1)/r! |
Ω |
0.74186823182728 |
Real period |
R |
5.8123567591866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123a1 |
Quadratic twists by: 29 |