Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bt |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-265302000 = -1 · 24 · 33 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,153,-289] |
[a1,a2,a3,a4,a6] |
Generators |
[17:85:1] |
Generators of the group modulo torsion |
j |
186624/125 |
j-invariant |
L |
8.8126020871914 |
L(r)(E,1)/r! |
Ω |
0.9913155586205 |
Real period |
R |
0.37040854483936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040a1 104040br1 |
Quadratic twists by: -3 17 |