Atkin-Lehner |
2- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9394l |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
828994534984 = 23 · 73 · 113 · 613 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2352,2744] |
[a1,a2,a3,a4,a6] |
j |
1438954974358273/828994534984 |
j-invariant |
L |
2.2797799543237 |
L(r)(E,1)/r! |
Ω |
0.75992665144122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75152j2 84546bc2 65758n2 103334c2 |
Quadratic twists by: -4 -3 -7 -11 |