Atkin-Lehner |
2- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9394l |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
4176 |
Modular degree for the optimal curve |
Δ |
2404864 = 29 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1672,26176] |
[a1,a2,a3,a4,a6] |
j |
516950268734593/2404864 |
j-invariant |
L |
2.2797799543237 |
L(r)(E,1)/r! |
Ω |
2.2797799543237 |
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 |
75152j1 84546bc1 65758n1 103334c1 |
Quadratic twists by: -4 -3 -7 -11 |