Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920by |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1666626969600000 = -1 · 216 · 37 · 55 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16413,1789666] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:450:1] [-18:1220:1] |
Generators of the group modulo torsion |
j |
163757102111/558150000 |
j-invariant |
L |
9.2938904763018 |
L(r)(E,1)/r! |
Ω |
0.3353150698026 |
Real period |
R |
0.69292221803309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5490j1 14640bc1 |
Quadratic twists by: -4 -3 |