Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bb |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-9743585500000000 = -1 · 28 · 59 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35292,-4017088] |
[a1,a2,a3,a4,a6] |
Generators |
[5367:88784:27] |
Generators of the group modulo torsion |
j |
5488/11 |
j-invariant |
L |
6.8248366470518 |
L(r)(E,1)/r! |
Ω |
0.21297809889171 |
Real period |
R |
8.0111953794394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200be1 48400be1 4400f1 |
Quadratic twists by: -4 5 -11 |