Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bv |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
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 |
[153:77:1] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
6.6871400017619 |
L(r)(E,1)/r! |
Ω |
0.67896275685184 |
Real period |
R |
2.4622631853827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352bf1 22176w1 4928n1 |
Quadratic twists by: -4 8 -3 |