Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19920m |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
210641344266240000 = 226 · 36 · 54 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1416776,-649179276] |
[a1,a2,a3,a4,a6] |
Generators |
[272180:10150734:125] |
Generators of the group modulo torsion |
j |
76783454067608361289/51426109440000 |
j-invariant |
L |
6.1120221956683 |
L(r)(E,1)/r! |
Ω |
0.13838585169593 |
Real period |
R |
7.3610875205869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2490c2 79680bm2 59760bn2 99600bv2 |
Quadratic twists by: -4 8 -3 5 |