Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120bw |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
28471058000 = 24 · 53 · 76 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2221,38730] |
[a1,a2,a3,a4,a6] |
j |
643956736/15125 |
j-invariant |
L |
1.1794569837003 |
L(r)(E,1)/r! |
Ω |
1.1794569837315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780f1 880j1 |
Quadratic twists by: -4 -7 |