Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650by |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6860113190000000000 = -1 · 210 · 510 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177855,129324647] |
[a1,a2,a3,a4,a6] |
j |
-338463151209/3731840000 |
j-invariant |
L |
4.0260649252954 |
L(r)(E,1)/r! |
Ω |
0.20130324627085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330j1 5950k1 |
Quadratic twists by: 5 -7 |