Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720k |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
495385114896000000 = 210 · 36 · 56 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-322240,61836412] |
[a1,a2,a3,a4,a6] |
Generators |
[-446:10800:1] |
Generators of the group modulo torsion |
j |
30716746229956/4112015625 |
j-invariant |
L |
6.5139680254125 |
L(r)(E,1)/r! |
Ω |
0.28342858133749 |
Real period |
R |
1.9152290996594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039269 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2280c2 |
Quadratic twists by: -7 |