Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fd |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
306063360000 = 214 · 36 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1692,-3024] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:80:1] [-30:144:1] |
Generators of the group modulo torsion |
j |
44851536/25625 |
j-invariant |
L |
12.264172269234 |
L(r)(E,1)/r! |
Ω |
0.80615609032983 |
Real period |
R |
1.9016435556962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bz1 29520g1 13120bd1 |
Quadratic twists by: -4 8 -3 |