Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400w |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4988715776000 = -1 · 211 · 53 · 117 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11- 0 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3832,-57968] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-484:1] |
Generators of the group modulo torsion |
j |
13718/11 |
j-invariant |
L |
4.156601913699 |
L(r)(E,1)/r! |
Ω |
0.42640395520257 |
Real period |
R |
0.30462618420444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24200m1 48400t1 4400i1 |
Quadratic twists by: -4 5 -11 |