Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040ba |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-41407200000 = -1 · 28 · 36 · 55 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,715,-6225] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-450:1] |
Generators of the group modulo torsion |
j |
157686431744/161746875 |
j-invariant |
L |
6.5886054460711 |
L(r)(E,1)/r! |
Ω |
0.62163776439083 |
Real period |
R |
0.17664642828683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4260a1 68160cb1 51120v1 85200bz1 |
Quadratic twists by: -4 8 -3 5 |