Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bk |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
19053144000 = 26 · 39 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40467,3133276] |
[a1,a2,a3,a4,a6] |
Generators |
[72:770:1] |
Generators of the group modulo torsion |
j |
157079401546816/408375 |
j-invariant |
L |
6.6571801652542 |
L(r)(E,1)/r! |
Ω |
1.0590183546081 |
Real period |
R |
2.0953933852317 |
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 |
31680bz1 15840ba2 10560v1 |
Quadratic twists by: -4 8 -3 |