Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080dk |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1771200 = -1 · 26 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-1026] |
[a1,a2,a3,a4,a6] |
Generators |
[43:265:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
8.0204043520843 |
L(r)(E,1)/r! |
Ω |
0.64118798199298 |
Real period |
R |
3.1271657275421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080l1 29520v1 118080dg1 |
Quadratic twists by: -4 8 -3 |