Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430a |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-11965702587248640 = -1 · 212 · 3 · 5 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14323,5298157] |
[a1,a2,a3,a4,a6] |
Generators |
[8483022:154843129:24389] |
Generators of the group modulo torsion |
j |
-68417929/2519040 |
j-invariant |
L |
3.6098152313448 |
L(r)(E,1)/r! |
Ω |
0.33434266200507 |
Real period |
R |
10.796753276126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230c1 |
Quadratic twists by: 41 |