Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360da |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-138071900160 = -1 · 217 · 36 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-776,-19980] |
[a1,a2,a3,a4,a6] |
Generators |
[94:864:1] |
Generators of the group modulo torsion |
j |
-43713001/116640 |
j-invariant |
L |
8.417855103709 |
L(r)(E,1)/r! |
Ω |
0.42010178207704 |
Real period |
R |
0.83490234411898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670a1 69360cz1 |
Quadratic twists by: -4 17 |