Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992i |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
180760065647616 = 210 · 310 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15072,-293040] |
[a1,a2,a3,a4,a6] |
Generators |
[232:2940:1] |
Generators of the group modulo torsion |
j |
369798568933252/176523501609 |
j-invariant |
L |
6.6266300958593 |
L(r)(E,1)/r! |
Ω |
0.45167469780502 |
Real period |
R |
3.6678112166254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006578 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496o2 |
Quadratic twists by: -4 |