Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720j |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23494709350425600 = 210 · 32 · 52 · 710 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-365360,-84559908] |
[a1,a2,a3,a4,a6] |
Generators |
[-116074:157872:343] |
Generators of the group modulo torsion |
j |
44771299477636/195021225 |
j-invariant |
L |
5.8676917702814 |
L(r)(E,1)/r! |
Ω |
0.19423747596893 |
Real period |
R |
7.5522137963526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781113 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960g2 |
Quadratic twists by: -7 |