Atkin-Lehner |
2+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24016a |
Isogeny class |
Conductor |
24016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
29203456 = 210 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 -2 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104,352] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-38:1] |
Generators of the group modulo torsion |
j |
122657188/28519 |
j-invariant |
L |
4.5809266066051 |
L(r)(E,1)/r! |
Ω |
1.9725827996598 |
Real period |
R |
0.5805746921492 |
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 |
12008c1 96064ba1 |
Quadratic twists by: -4 8 |