Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27848f |
Isogeny class |
Conductor |
27848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-3286064 = -1 · 24 · 593 |
Discriminant |
Eigenvalues |
2- 1 3 -1 2 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39,-142] |
[a1,a2,a3,a4,a6] |
j |
-2048 |
j-invariant |
L |
3.726100081532 |
L(r)(E,1)/r! |
Ω |
0.93152502038297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696b1 27848a1 |
Quadratic twists by: -4 -59 |