Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224o |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-101343550464 = -1 · 210 · 37 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,-23650] |
[a1,a2,a3,a4,a6] |
Generators |
[550:12870:1] |
Generators of the group modulo torsion |
j |
-324730948/135759 |
j-invariant |
L |
7.7549525022015 |
L(r)(E,1)/r! |
Ω |
0.38964459032087 |
Real period |
R |
4.9756577498574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448m1 18408b1 |
Quadratic twists by: -4 -3 |