Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16104d |
Isogeny class |
Conductor |
16104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1127022336 = -1 · 28 · 38 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,116,-1504] |
[a1,a2,a3,a4,a6] |
Generators |
[20:96:1] |
Generators of the group modulo torsion |
j |
668510768/4402431 |
j-invariant |
L |
5.2679427392481 |
L(r)(E,1)/r! |
Ω |
0.77148554926303 |
Real period |
R |
1.7070775804811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32208a1 128832d1 48312m1 |
Quadratic twists by: -4 8 -3 |