Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920bg |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
12110400 = 26 · 32 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-290,1800] |
[a1,a2,a3,a4,a6] |
Generators |
[34:180:1] |
Generators of the group modulo torsion |
j |
42289683904/189225 |
j-invariant |
L |
5.8836365870919 |
L(r)(E,1)/r! |
Ω |
2.2672725063113 |
Real period |
R |
2.5950284188222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13920g1 27840c2 41760a1 69600h1 |
Quadratic twists by: -4 8 -3 5 |