Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342be |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
8404541932889088 = 210 · 38 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83579,-8166805] |
[a1,a2,a3,a4,a6] |
j |
752825955673/97993728 |
j-invariant |
L |
5.6639277710003 |
L(r)(E,1)/r! |
Ω |
0.28319638855001 |
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 |
9114o1 3906v1 |
Quadratic twists by: -3 -7 |