Atkin-Lehner |
2- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
24272d |
Isogeny class |
Conductor |
24272 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
386469269504 = 212 · 372 · 413 |
Discriminant |
Eigenvalues |
2- 0 -2 4 -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23171,1357250] |
[a1,a2,a3,a4,a6] |
Generators |
[17:984:1] |
Generators of the group modulo torsion |
j |
335890789988697/94352849 |
j-invariant |
L |
4.6256471760987 |
L(r)(E,1)/r! |
Ω |
0.92904650916033 |
Real period |
R |
0.82981980817432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1517a1 97088o1 |
Quadratic twists by: -4 8 |