Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19920m |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
61600138946150400 = 240 · 33 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106056,-5877900] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:2550:1] |
Generators of the group modulo torsion |
j |
32208729120020809/15039096422400 |
j-invariant |
L |
6.1120221956683 |
L(r)(E,1)/r! |
Ω |
0.27677170339186 |
Real period |
R |
3.6805437602935 |
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 |
2490c1 79680bm1 59760bn1 99600bv1 |
Quadratic twists by: -4 8 -3 5 |