Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120cg |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-22321309472000 = -1 · 28 · 53 · 78 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6060,-138788] |
[a1,a2,a3,a4,a6] |
j |
16674224/15125 |
j-invariant |
L |
2.2310533760692 |
L(r)(E,1)/r! |
Ω |
0.37184222936383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780k1 43120br1 |
Quadratic twists by: -4 -7 |