Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400be |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-623589472000 = -1 · 28 · 53 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1412,-31572] |
[a1,a2,a3,a4,a6] |
Generators |
[38:280:1] |
Generators of the group modulo torsion |
j |
5488/11 |
j-invariant |
L |
5.1218766303548 |
L(r)(E,1)/r! |
Ω |
0.47623350684053 |
Real period |
R |
2.6887422644463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200p1 48400bb1 4400g1 |
Quadratic twists by: -4 5 -11 |