Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16940g |
Isogeny class |
Conductor |
16940 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-120040973360 = -1 · 24 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,968,-11979] |
[a1,a2,a3,a4,a6] |
Generators |
[38340:939639:64] |
Generators of the group modulo torsion |
j |
3538944/4235 |
j-invariant |
L |
5.1717939761698 |
L(r)(E,1)/r! |
Ω |
0.56254431211453 |
Real period |
R |
9.1935761588802 |
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 |
67760bw1 84700f1 118580e1 1540a1 |
Quadratic twists by: -4 5 -7 -11 |