Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bf |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-18041103089856 = -1 · 26 · 36 · 74 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72642,-7538578] |
[a1,a2,a3,a4,a6] |
Generators |
[38905:5929:125] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
6.6033311044397 |
L(r)(E,1)/r! |
Ω |
0.1453990350508 |
Real period |
R |
4.5415233341378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352bv1 22176a1 4928c1 |
Quadratic twists by: -4 8 -3 |