Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576be |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1006633043361792 = 219 · 33 · 7 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22708544,-41644065792] |
[a1,a2,a3,a4,a6] |
Generators |
[1480376982:-687575343798:6859] |
Generators of the group modulo torsion |
j |
316178002823687943011137/245760020352 |
j-invariant |
L |
4.8385804444433 |
L(r)(E,1)/r! |
Ω |
0.069159561455142 |
Real period |
R |
17.490641786647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999853753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322k3 |
Quadratic twists by: -4 |