Atkin-Lehner |
2+ 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50232k |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
8853868856431872 = 28 · 310 · 7 · 13 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-845593,-299536405] |
[a1,a2,a3,a4,a6] |
Generators |
[-529:162:1] |
Generators of the group modulo torsion |
j |
261197128285148032000/34585425220437 |
j-invariant |
L |
8.1639318547047 |
L(r)(E,1)/r! |
Ω |
0.1574391069822 |
Real period |
R |
1.2963634022053 |
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 |
100464f1 |
Quadratic twists by: -4 |