Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360l |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
944640000 = 212 · 32 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-425,3177] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-120:1] [-16:75:1] |
Generators of the group modulo torsion |
j |
2077552576/230625 |
j-invariant |
L |
7.7417292326134 |
L(r)(E,1)/r! |
Ω |
1.5195288531632 |
Real period |
R |
0.63685276660736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bg1 19680w1 118080bn1 |
Quadratic twists by: -4 8 -3 |